To solve an equation of the form (x-a)² = b, take the square root of both sides to get x-a = ±√b, then solve for x by adding a to both sides, which yields two solutions: x = a + √b and x = a - √b. For example, solving (x-6)² = 100 gives x-6 = ±10, so x = 16 or x = -4.
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Quickly Solve (x-6)^2 = 100 with Ease!Added:
Can you solve this? Pause the video now to solve it yourself. We're looking at a squared term set equal to 100. To solve this, take the square root of both sides to eliminate the square. Remember, taking the square root introduces a plus or minus. First, apply the square root on both sides. X minus 6 becomes plus or minus 10. First solution, set X minus 6 10. Add 6 to both sides, X equals 16.
Second solution, set X minus 6 minus 10.
Add 6 to both sides again, X equals negative 4. Here are our solutions, X equals 16 or negative 4. Follow Brain Shorts for more tip.
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