The correct setup for solving the equation using the quadratic formula is x = (-7 ± √(49 - 24)) / (-4)
How to setup to solve the quadratic formula ?
To solve the quadratic equation -2x ² + 11x + 7 = 10 + 4x using the quadratic formula, you should first rewrite the equation in the standard form ax ² + bx + c = 0, where a, b, and c are coefficients. In this case, we need to move all terms to one side of the equation:
-2x ² + 11x + 7 - 10 - 4x = 0
The standard form of the equation is now ax ² + bx + c = 0, where:
a = -2
b = 7
c = -3
Set up the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For this equation, it becomes:
x = (-7 ± √(7² - 4*(-2)(-3))) / (2(-2))
So, the correct setup for solving the equation using the quadratic formula is:
x = (-7 ± √(49 - 24)) / (-4)
x = (-7 ± √25) / (-4)
The full question is:
Consider the quadratic equation below. -2x^2+11x+7=10+4x Determine the correct set-up for solving the equation using the quadratic formula.