Question

Use the quadratic formula to solve for x.

5x2 + 9x + 2 = 0
(If there is more than one solution, separate them with commas.)

Answer 1

The answer is

`x = ( - 9 - √(41) )/(10) \: \: \: , \: \: \: \: \: ( - 9 + √(41) )/(10) \\`

Explanation:

5x² + 9x + 2 = 0

Using the quadratic formula that's

`x = \frac{ - b \pm \sqrt{ {b}^(2) - 4ac} }{2a} \\`

From the question

a = 5 , b = 9 , c = 2

We have

`x = \frac{ - 9 \pm \sqrt{ {9}^(2) - 4(5)(2) } }{2(5)} \\ = ( - 9 \pm √(81 -40 ) )/(10) \\ = ( - 9 \pm √(41) )/(10) \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`x = ( - 9 - √(41) )/(10) \: \: \: , \: \: \: \: \: ( - 9 + √(41) )/(10) \\`

Hope this helps you