If one root of the equation is $6$ , find the other root for the equation $x^{2} - 9 x + 18 = 0$ .

2

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Solution

The correct option is D $3$
The general form of complete quadratic equation is $a x^{2} + b x + c = 0$
Where, Sum of the roots, $r_{1} + r_{2}$ = $\frac{- b}{a}$
Here, the given equation is $x^{2} - 9 x + 18 = 0$
The value of $b = - 9, a = 1$ , $r_{1} = 6$ , $r_{2} = ?$
$6 +$ $r_{2}$ = $\frac{- (- 9)}{1}$
$r_{2}$ $= 9 - 6$
$r_{2}$ $= 3$

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