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Quadratic Equations in One Variable — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsQuadratic Equations in One Variable1 Mark
Question
Solve the following equation by factorisation :
$3x^2+ 11x + 10 = 0$
✓

Answer

$
\begin{aligned}
& 3 x^2+11 x+10=0 \\
& \Rightarrow 3 x^2+6 x+5 x+10=0 \\
& 3 x(x+2)+5(x+2)=0 \\
& \Rightarrow(x+2)(3 x+5)=0
\end{aligned}
$
Either $x+2=0$,
then $x=-2$
or
$
3 x+5=0 \text {, }
$
then $3 x=-5$
$
\Rightarrow x =\frac{-5}{3}
$
Hence $x=-2, \frac{-5}{3}$.

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