How do you solve -4x^{2}+4x=9?

Emerson Barnes

Emerson Barnes

Answered question

2022-01-21

How do you solve 4x2+4x=9?

Answer & Explanation

cevarnamvu

cevarnamvu

Beginner2022-01-22Added 12 answers

For a general quadratic ax2+bx+c, you know that the solutions are given by
x1,2=b±b24ac2a
First of all, we rewrite the equation as 4x2+4x9=0, which (if you prefer) can be also written as 4x24x+9=0
In this final case, a=4,b=4,c=9. Substituing this values into the solving formula, we get
x1,2=4±1644924
The discriminant b24ac is negative, and thus there are no real solutions.
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