Question

Solve (x – 3)2 = 49. Select the values of x.

Answer 1

x = 27.5

Explanation:

`(x - 3)2 = 49 \\ ((x - 3)2)/(2) = (49)/(2) \\ x - 3 = 24.5 \\ x - 3 + 3 = 24.5 + 3 \\ x = 27.5 \\`

Answer 2

`x = -4\\\\x = 10`

Explanation:

`~~~~~(x-3)^2 = 49\\\\\implies (x-3)^2 -49 = 0\\\\\implies (x-3)^2 -7^2 = 0\\\\\implies (x-3+7)(x-3-7) = 0\\\\\implies (x+4)(x-10) = 0\\\\\implies x = -4,~ x = 10`