Question

Using the quadratic formula, find the solution(s) to 2x2+26x+60=0
.

Hint: The quadratic formula is: x=−b±b2−4ac√2a


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(1 point)

x = 13

x = -3, x = -10

x = 30

x = 3, x = 10

Answer 1

First simplify by factoring or using the quadratic formula.

Using the formula with a=2, b=26, c=60:
Discriminant = b^2 − 4ac = 26^2 − 4·2·60 = 676 − 480 = 196, √196 = 14.

x = (−26 ± 14)/(2·2) = (−26 ± 14)/4
So x = (−26+14)/4 = −12/4 = −3, or x = (−26−14)/4 = −40/4 = −10.

Answer: x = −3, x = −10.