Hi there. Can "x^2 - 10x + 22 = -2" be solved by taking the square root? Can "4x^2 + 8x + 3 = 0" be solved by taking the square root? If so, please show me an explanation.

Answer 1

You probably mean, "completing the square", where we take the square root near the end of the process

x^2 - 10x + 22 = -2
x^2 - 10x + ..... = -24 + .....
x^2 - 10x + 25 = -24 + 25
(x-5)^2 = 1
take √ of both sides
x - 5 = ± √1 = ± 1

x = 5 ± 1
x = 6 or x = 4