What is the correct answer when you solve −5x^2 + 2 + 8x = 0 using the quadratic formula?
To solve the quadratic equation −5x^2 + 2 + 8x = 0 using the quadratic formula, we can use the formula x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the equation. In this case, a = -5, b = 8, and c = 2. Plugging these values into the quadratic formula, we have:
x = (-(8) ± √((8)^2 - 4(-5)(2))) / (2(-5))
x = (-8 ± √(64 + 40)) / (-10)
x = (-8 ± √(104)) / (-10)
Simplifying further, we have:
x = (-8 ± √(4 * 26)) / (-10)
x = (-8 ± 2√26) / (-10)
Thus, the correct answer when solving the quadratic equation using the quadratic formula is:
x = (-8 + 2√26) / (-10) or x = (-8 - 2√26) / (-10)