How do you solve 4p2=−25p−25 using the quadratic formula?

1 Answer
E P.
Apr 11, 2018

−5or−54

Explanation:

To use the quadratic formula our function has to be in the form:

a2+bx+c=0

So, let's start off by subtracting 4p2 from both sides, to get it into that form. That gives us:

0=−4p2−25p−25

I'm also going to multiply both sides by −1, to eliminate all of the negatives. You don't have to do this, but it will make the process quite a bit cleaner. That leaves us with:

0=4p2+25p+25

So, a=4, b=25, c=25

Now we simply substitute our values into the quadratic equation

= −b±√b2−4ac2a

= −(25)±√(25)2−4(4)(25)2(4)

= −25±√2258

= −25±158

= −408or−108

= −5or−54

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