Question

For what values of c will the quadratic equation below have two real solutions.

8x^2 − 13x + c = 0

Enter the answer as an inequality with c rounded to the nearest one-hundredth.

Answer 1

5.28
Have a nice day

Answer 2

c > 5.28

Explanation:

From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions

b² - 4ac > 0

(-13)² - 4(8)c > 0

169 - 32c > 0

-32c > -169

c > 5.28125

Rounded

c > 5.28