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id="TexFormula1" title="\bold{x {}^{2} + 5x + 6 = 0}\\\\" alt="\bold{x {}^{2} + 5x + 6 = 0}\\\\" align="absmiddle" class="latex-formula">
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1 answer:

Fed [463] · Answer 1 · 2023-06-06T04:09:44+03:00

The solution of the given quadratic equation is x=-2 or x=-3.

The given quadratic equation is x²+5x+6=0.

<h3>What are different methods to solve a quadratic equation?</h3>

The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.

By using the splitting middle term method we can solve x²+5x+6=0.

That is, x²+2x+3x+6=0

⇒x(x+2)+3(x+2)=0

⇒(x+2)(x+3)=0

⇒(x+2)=0, (x+3)=0

⇒x=-2 or x=-3.

Therefore, the solution of the given quadratic equation is x=-2 or x=-3.

To learn more about the quadratic equation visit:

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