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Quadratic Equations — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsQuadratic Equations1 Mark
MCQ
Which of the following equation has 2 as a root?
  • A
    $x^2-4 x+5=0$
  • B
    $x^2+3 x-12=0$
  • ✓
    $2 x^2-7 x+6=0$
  • D
    $3 x^2-6 x-2=0$
✓

Answer

Correct option: C.
$2 x^2-7 x+6=0$
(c) $2 x^2-7 x+6=0$
Explanation :
On substituting $x=2$ in $2 x^2-7 x+6$, we get
$\begin{array}{l}2(2)^2-7(2)+6=2(4)-14+6 \\ =8-14+6=14-14=0\end{array}$
So, $x=2$ is root of the equation $2 x^2-7 x+6=0$.

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