Final answer:
To solve the equation 8=-18x+5x², rearrange it into the standard quadratic form 5x² + 18x - 8 = 0. Apply the quadratic formula with coefficients a=5, b=18, and c=-8 to find the values of x.
Step-by-step explanation:
To solve the quadratic equation 8=-18x+5x² using the quadratic formula, we need to first rearrange it into the standard form ax² + bx + c = 0. By transposing all terms to one side, we get:
5x² + 18x - 8 = 0
The coefficients now are a = 5, b = 18, and c = -8. The quadratic formula is:
x = (-b ± √(b²-4ac)) / (2a)
Plugging our coefficients into the formula gives us the solutions for x:
x = (-(18) ± √((18)²-4(5)(-8))) / (2(5))
Simplify the equation to find the values of x.