Use the quadratic formula to solve the following quadratic equation: x^2−6x−20=20 (1 point) Responses x = −10, x = 4 x = −10, x = 4 x = 52, x =− 46 x = 52, x =− 46 x = 3+210−−√, x =3−210−−√ x = 3+210−−√, x =3−210−−√ x = 10, x =− 4
To use the quadratic formula, we need to rearrange the equation in the form ax^2 + bx + c = 0.
The equation x^2 - 6x - 20 = 20 can be simplified to x^2 - 6x - 40 = 0.
Comparing this to the standard quadratic equation ax^2 + bx + c = 0, we have:
a = 1
b = -6
c = -40
Now, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values, we have:
x = (-(-6) ± √((-6)^2 - 4(1)(-40))) / (2(1))
x = (6 ± √(36 + 160)) / 2
x = (6 ± √(196)) / 2
x = (6 ± 14) / 2
This gives us two possible solutions:
x = (6 + 14) / 2 = 20 / 2 = 10
x = (6 - 14) / 2 = -8 / 2 = -4
Therefore, the solutions to the equation x^2 - 6x - 20 = 20 are x = 10 and x = -4.