Question

What is the smallest solution to the equation 2x^2+17=179

Answer 1

The goal is to put the equation in the simplest form to solve:
2x²+17=179

Subtract both sides by 17.
179-17= 162
2x²=162

Square root 162.
√162 = 12.7 (rounded)
2x=12.7

Divide both sides by 2.
12.7/2= 6.4 (rounded)
x=6.4

The variable x is 6.4, rounded to the nearest tenth for simple purposes.

Hope this was helpful.

Answer 2

-9

Explanation:

The answer is +/- 9, and since it is asking for the smallest solution, the answer is -9

(My work is quite messy, but I hope it helps someone!)