## Nick88888888 one year ago Solve by using the Quadratic Formula: 5x2 - 2x - 3 = 0 Can someone show me how to do this step by step?

1. kropot72

Do you know the formula for solving any quadratic?

2. Nick88888888

errr zero-product property?

3. kropot72

$\large x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ for quadratic $\large ax^{2}+bx+c$

4. kropot72

For your question: a = 5, b = -2, c = -3 Just plug the values into the formula.

5. Nick88888888

Ok so |dw:1435564026199:dw|

6. kropot72

@Nick88888888 Can you do that?

7. Nick88888888

@kropot72 Did i do that correctly or did i make a mistake in the order i solved things?

8. kropot72

$\large x=\frac{-(-2) \pm \sqrt{4-4(-3\times5)}}{10}$

9. kropot72

$\large =\frac{2\pm \sqrt{(4+60)}}{10}=you\ can\ calculate$

10. Nick88888888

2+√(4+60)/10=2.8? 2-√(4+60)/10=1.2?

11. Nick88888888

wait no

12. Nick88888888

2-√(4+60)/10=-0.6 2+√(4+60)/10=1

13. kropot72

Correct. Good work.