Question

The area of a square, in square units, is 38 more than 10 times the length of a side of the square, in units.

Find all possible values for the side length of the square.

Answer 1

Below

Explanation:

Area = 10s + 38

so 10s + 38 = s * s

or s^2 - 10s -38 = 0 Using Quadratic Formula:

s = 5+3 sqrt7 and 5-3 sqrt7 <===extraneous solution (does not work)