Question

Use the quadratic formula to find the solutions to the quadratic equation

below. Check all that apply.
4x²-x-5=0
A.-1
OB.
□ C.
332
233
OD. /
DE 1
OF

Answer 1

x = 5/4 or x = -1

Explanation:

4x² - x - 5 = 0

quadratic formula is:

x = -b ± √b² - 4ac / 2a

from the given quadratic equation:

a = 4, b = -1, c = -5

x = -(-1) ± √(-1)² - 4(4)(-5) / 2(4)

= 1 ± √1 + 80 / 8

= 1 ± √81 / 8

= 1 ± 9 / 8

= 1 + 9 / 8, 1 - 9 / 8

= 10/8, -8/8

thus,

x = 5/4 or x = -1