# How do you solve #10x^2+9=499#?

##### 2 Answers

#### Explanation:

Given

1) Subtract

2) Divide both sides by

3) Find the square roots of both sides

**---------- Check ----------**

Sub in

Clear the exponent by squaring the

Clear the parentheses

Combine like terms

x1 = 7.53

x2 = - 6.63

#### Explanation:

y = 10x^2 + 9x = 499

Use the improved quadratic formula (Socratic search):

There are 2 real roots:

graph{10x^2 +9x - 499 [-320, 320, -160, 160]}