To use the quadratic formula to solve the equation –x^2 + 7x = 8, we first rewrite the equation in the standard form ax^2 + bx + c = 0, where a = -1, b = 7, and c = -8.
The quadratic formula states that the solutions for the equation can be calculated using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values from the equation, we have:
x = (-(7) ± √((7)^2 - 4(-1)(-8))) / (2(-1))
Simplifying this equation, we get:
x = (-7 ± √(49 - 32)) / -2
x = (-7 ± √17) / -2
Therefore, the solutions for the equation –x^2 + 7x = 8 are:
Solution a: x = (-7 + √17) / -2
Solution b: x = (-7 - √17) / -2
Use the quadratic formula to solve the equation. –x2 + 7x = 8 (1 point) Responses Image with alt text: solution a Image with alt text: solution b Image with alt text: solution c
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