Answer:
x = 7
x = - 1
Step-by-step explanation:
2(x-3)²-32=0 Add 32 to both sides
2(x-3)² - 32+32 = 32 Combine
2(x - 3)² = 32 Divide by 2
2(x - 3)² /2 = 32/2 Do the division
(x - 3)² = 16 Take the square root of both sides
sqrt(x - 3)² = sqrt(16) Do the square root.
x - 3 = +/- 4
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x - 3 = 4 Add 3 to both sides
x - 3+3 = 4+3
x = 7
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x - 3 = - 4 Add 3 to both sides
x -3 +3 = - 4 + 3
x = - 1
