Math, asked by aditri57, 3 months ago

2x square + 5x + 3 =​

Answers

Answered by MrHyper
12

\huge{{\underline{\underline{\blue{\textbf{\textsf{Answer}}}}}}\blue{:}}

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\tt{2x^{2}+5x+3=0}

\bf\color{navy}{Here~~S=5~~~P=6~~~~~(3,~2)}

\tt{: \longrightarrow (2x^{2}+2x)+(3x+3)=0}

\tt{: \longrightarrow [2x(x+1)~]+[3(x+1)~]=0}

\tt{: \longrightarrow (2x+3)(x+1)=0}

\tt{: \longrightarrow 2x+3=0~~~or~~~x+1=0}

\tt{: \longrightarrow x={\underline{\boxed{\tt{~{\frac{-3}{2}}~}}}}~~or~~x={\underline{\boxed{\tt{~-1~}}}}}

\bf\therefore The~roots~of~the~quadratic \\ \bf equation~are:~{\frac{-3}{2}}~and~-1

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\huge\blue{\textbf{\textsf{Hope~it~helps..!!}}}

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