Which of the following shows the correct way to set up the quadratic formula to solve 4x2-5x-2=1?
To solve the equation 4x^2 - 5x - 2 = 1 using the quadratic formula, the correct setup is:
4x^2 - 5x - 2 - 1 = 0
This simplifies to:
4x^2 - 5x - 3 = 0
Now, using the quadratic formula:
x = (-(-5) ± √((-5)^2 - 4*4*(-3))) / 2*4
x = (5 ± √(25 + 48)) / 8
x = (5 ± √73) / 8
Therefore, the correct setup to solve the equation is 4x^2 - 5x - 2 = 1 and using the quadratic formula x = (5 ± √73) / 8.