Solve using the quadratic formula x2 −8x−2=0 (1 point) Responses 4±32–√ 4 plus or minus 3 square root of 2 8±32–√ 8 plus or minus 3 square root of 2 −4±32–√ negative 4 plus or minus 3 square root of 2 −8±32–√ negative 8 plus or minus 3 square root of 2
To solve the equation x^2 − 8x − 2 = 0 using the quadratic formula, we can use the formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = -8, and c = -2.
Substituting these values into the quadratic formula, we have:
x = (-(-8) ± √((-8)^2 - 4(1)(-2))) / 2(1)
x = (8 ± √(64 + 8)) / 2
x = (8 ± √72) / 2
Simplifying further:
x = (8 ± √(36 * 2)) / 2
x = (8 ± 6√2) / 2
x = 4 ± 3√2
Therefore, the solutions to the equation x^2 − 8x − 2 = 0 are x = 4 + 3√2 and x = 4 - 3√2.