How do you solve 5x^2 + 7x = 6 using the quadratic formula?

1 Answer
Apr 1, 2017

Using the quadratic formula, x = (-b+- sqrt(b^2-4ac))/(2a), we get that x =-2, 0.6

Explanation:

Rearrange the equation so that it becomes: 5x^2+7x-6=0

The quadratic formula is: x = (-b+- sqrt(b^2-4ac))/(2a)

In our equation above,
a=5
b=7
c=-6

Plugging these values into the quadratic equation gives:

x = (-7+- sqrt(7^2-4(5)(-6)))/(2(5))

x = (-7+- sqrt(49+120))/(10)

x = (-7+- sqrt(169))/(10)

x = (-7+- 13)/(10)

x =-2, 0.6