Question

Does the equation have roots? if yes, find them.

x^2=32

Answer 1

`x=\pm 4\sqrt2`

Explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that
`32 = 2^5 =4^2\cdot 2` and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

`x= \pm √(4^2\cdot2)=\pm 4\sqrt2`