Use the quadratic formula to solve the following quadratic equation: x2−6x−20=20
(1 point)
Responses
x = 52, x =− 46
x = 52, x =− 46
x = 10, x =− 4
x = 10, x =− 4
x = 3+210−−√, x =3−210−−√
x = 3+210−−√, x =3−210−−√
x = −10, x = 4
Using the quadratic formula, x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = -6, and c = -40 in this case, we can solve for x.
Plugging in the values, we get:
x = (-(-6) ± √((-6)^2 - 4(1)(-20)))/(2(1))
x = (6 ± √(36 + 80))/2
x = (6 ± √(116))/2
x = (6 ± √(4 * 29))/2
x = (6 ± 2√(29))/2
x = (3 ± √(29))
So the solutions to the quadratic equation x^2 - 6x - 20 = 20 are x = 3 + √(29) and x = 3 - √(29).
Therefore, the correct answer is x = 3+210−−√, x =3−210−−√.