Determine the solution set of (x - 3) 2 = 49. {6, - 8} {4, 10} {10, - 4}

Question

Mathematics

Jazlene

31 March, 07:14

Determine the solution set of (x - 3) 2 = 49. {6, - 8} {4, 10} {10, - 4}

+1

Answers (1)

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Mercedes Mckinney · Answer 1

{10, - 4}

Step-by-step explanation:

(x-3) ^2 = 49

Take the square root of each side

sqrt ((x-3) ^2) = sqrt (49)

x-3 = ±7

Add 3 to each side

x-3+3 = 3±7

x = 3±7

x = 3+7 and x = 3-7

x = 10 x = - 4