To solve quadratic equations 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, resulting in two solutions: x = a + √b and x = a - √b. For the equation (x-2)² = 36, taking the square root gives x-2 = ±6, so x = 8 or x = -4.
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Simple Quadratic? Most Can't Solve!Added:
Can you solve this? Pause the video now to solve it yourself. Let's solve this step by step. We need to solve for X in the equation X minus 2 236. To remove the square, we take the square root of both sides of the equation.
This gives us two possible equations. X minus 2 equals 6 equals 6.
For X 2 equals 6, add 2 to both sides to isolate X, resulting in X equals 8. For X minus 2 equals 6, add 2 to both sides to isolate X, resulting in X minus 4.
8 and -4 are our solutions. Our final answers are X equals 8 and X equals -4.
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