Write an article based on this "Test Pick a sunny spot in your yard. Choose a well-drained area in the grass. Select an area you do not need to mow often."
article: the soil to see if it has a pH between 6 and 7. Bulbs grow best in soil that is slightly acidic. You can purchase a testing kit at a home improvement store. Use the kit to test a soil sample, then adjust the soil as needed by tilling amendments 8 in (20 cm) deep into the soil.  Grass also grows well in slightly acidic soil, so your bulbs should be fine in any spots where grass sprouts. To raise the pH, add limestone to the soil. To lower the pH, mix in sulfur or aluminum sulfate. Bulbs are generally warm-weather plants that grow best in full sun, which is at least 6 hours of sunlight a day. Monitor your yard to see how the sunlight changes during the day. Avoid planting bulbs in any areas that are always shady.  Some bulbs may survive in partial sunlight, which is about 2 to 4 hours of sunlight a day. A good place to plant your bulbs is underneath deciduous trees. The bulbs grow before the tree’s leaves come back in the spring, so they get plenty of sunlight. Most bulbs thrive in spots with minimal moisture. Watch your yard after a hard rain. The water should drain away within a few hours. Any areas that stay muddy or have pools of water are not good spots to plant your bulbs.  Your grass may also have trouble surviving in these areas. Avoid placing the bulbs in any spots where grass doesn’t grow. Some bulbs can grow in damper areas, but waterlogged areas will always lead to rotten bulbs. Waterlogged areas can be amended by mixing sand at least 8 in (20 cm) into the soil. Because you are mixing bulbs in with the grass, you won’t be able to mow the grass for a few months. Bulbs need to be left undisturbed throughout spring, until the leaves start to turn brown and wither. Cutting the bulbs early can mean poor blooms during the next year.  Early-spring bulbs, like crocuses, are ideal for most lawns since they usually fade before the lawn needs to be mowed. Late-blooming bulbs, such as daffodils, can be planted in spots where you let the grass grow naturally, such as along fences and under trees.

Write an article based on this "Start by finding the main pulse or beat. See if you can hear an emphasis on certain beats from the percussion. Listen for the backbeats to have an emphasis from other instruments. Check for major changes on the first beat of the measure. Try to hear how the beats are grouped based on the cues. Choose the most likely time signature for the song."
article: When you're listening to a song, you may start tapping your foot or nodding your head to the beat. This beat is referred to as the pulse, what you count to when playing the song. Start by just finding this beat and tapping along with it. Often, the even beats are given an extra thump or sound, particularly in rock or pop music. So for instance, you may be hearing "thump, thump, thump, thump" as the beat, but then on top of that, you hear an extra bit on some beats, such as "pa-thump, thump, pa-thump, thump. Many times, the first beat in the measure will be given a stronger emphasis, so try to listen for that, as well. Even though the drums will often hit the even beats, other instruments in the song may hit the backbeats or the odd beats. So while you may hear a more solid thudding on the even beats, listen for the other beats to have emphasis elsewhere. For instance, you may hear chord changes on the first beat of most measures. Alternatively, you may hear other changes, like melody movement or harmony changes. Often, the first note of the measure is where major changes in the song happen. It can help to listen for strong and weak notes. For instance, the beats for duple time (2/4 and 6/8), are strong-weak. The beats for triple time (3/4 and 9/8), are strong-weak-weak, while for quadruple time (4/4 or 'C' for common time and 12/8), they're strong-weak-medium-weak. For instance, you may notice beats are grouped in 2s, 3s, or 4s. Count the beats out if you can. Listen for the first beat in each measure, then count out the notes, 1-2-3-4, 1-2-3, etc., until you hear the first beat of the next measure. If you are hearing 4 strong beats in a measure, you likely have a 4/4 time signature as that's the most common in pop, rock, and other popular music. Remember, the bottom "4" tells you the quarter note gets the beat, and the top "4" tells you that you have 4 beats in each measure. If you feel 2 strong beats but also hear notes in triples behind it, you might have a 6/8 time, which is counted in 2s but each one of those beats can be divided into 3 eighth notes.  2/4 time is most often used in polkas and marches. You may hear "om-pa-pa, om-pa-pa" in this type of song, where the "om" is a quarter note on the first beat and the "pa-pa" is 2 eighth notes on the second beat. Another possibility is 3/4, which is often used in waltzes and minuets. Here, you'll hear 3 beats in the measure, but you won't hear the triplets you do in 6/8 (a triplet is 3 eighth notes).

Write an article based on this "Recognize the potential for an extraneous solution. Test each of your solutions in the original problem. Discard the extraneous solution and report your result."
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Recall that after isolating the radical on one side of the equation, you then squared both sides to remove the radical sign. This is a necessary step to solving the problem. However, the squaring operation is what creates the extraneous solutions. Remember some basic mathematics, that both a negative and a positive number, when squared, will give the same result. For example, (−3)2{\displaystyle (-3)^{2}} and 32{\displaystyle 3^{2}} both give the answer of 9{\displaystyle 9}. However, both the negative and positive numbers might not be solutions to whatever problem you are solving. The one that does not work is called the extraneous solution. After you have found the solutions to your problem, you may have found one, two or more different possible values for the variable. You need to check each of these in the original problem to see which work. Remember that the original problem here was x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3}.  First check the solution x=5{\displaystyle x=5}:  x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3}  5−1+4=5−3{\displaystyle {\sqrt {5-1}}+4=5-3} ………. (substitute 5 for x) 4+4=5−3{\displaystyle {\sqrt {4}}+4=5-3} 2+4=5−3{\displaystyle 2+4=5-3}  6=2{\displaystyle 6=2}. Because your result is an incorrect statement, the original solution of x=5{\displaystyle x=5} must be an extraneous solution that was caused by the squaring process.   Check the second solution x=10{\displaystyle x=10}:  x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3} 10−1+4=10−3{\displaystyle {\sqrt {10-1}}+4=10-3} 9+4=10−3{\displaystyle {\sqrt {9}}+4=10-3} 3+4=10−3{\displaystyle 3+4=10-3} 7=7{\displaystyle 7=7} In this case, you get a true statement. This shows that the solution x=10{\displaystyle x=10} is a true solution to the original problem. The extraneous solution is incorrect and can be discarded. Whatever remains is the answer to your problem. In this case, you would report that x=10{\displaystyle x=10}.