How do you solve 10x2=−7x+6 using the quadratic formula?

1 Answer
R. Nguyen
Mar 11, 2018

x=12 or x=−65

Explanation:

The quadratic formula allows us to find the value of x for an equation in the form ax2+bx+c=0 where a≠0. In the case that the equation is in this form:

x=−b±√b2−4ac2a

The first thing we notice is that this equation is not in that form, so we should rearrange the terms so it is.

10x2=−7x+6

10x2+7x−6=0

Now, we can substitute our coefficients into the quadratic formula. I recommend using parentheses around each coefficient to help ensure all of the signs are correct in our final answer.

x=−(7)±√(7)2−4(10)(−6)2(10)

x=−7±√28920

x=−7±1720

x=−7+1720 or x=−7−1720

x=1020 or x=−2420

x=12 or x=−65

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