Question

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

Answer 1

Answer:

x = -4, 10

Step-by-step explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

$(x-3)^2=49$

$\sqrt{(x-3)^2} =\sqrt{49}$

$x-3=+-7$

$x=3+7=10$

$x=3-7=-4$

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of $\sqrt{49}$