Question

Please give step by step help to solve this equation

2(x-3)²-32=0

Answer 1

x = 7

x = - 1

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