If the equations $a x^{2} + b x + 1 = 0$ and $2 x^{2} + 4 x + 3 = 0$ have both the roots common, then the value of $a + b$ is:

$4$

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$1$

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$2$

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$3$

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Solution

The correct option is C
$2$

Since, both the roots are common

$\frac{a}{2} = \frac{b}{4} = \frac{1}{3}$

$a = \frac{2}{3}, b = \frac{4}{3}$

$\Rightarrow a + b = \frac{6}{3} = 2$

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If the equations ax2+bx+1=0 and 2x2+4x+3=0 have both the roots common, then the value of a+b is:

The correct option is C 2 Since, both the roots are common a2=b4=13 a=23,b=43 ⇒ a+b=63=2

If the equations $a x^{2} + b x + 1 = 0$ and $2 x^{2} + 4 x + 3 = 0$ have both the roots common, then the value of $a + b$ is:

The correct option is C
$2$

Since, both the roots are common

$\frac{a}{2} = \frac{b}{4} = \frac{1}{3}$

$a = \frac{2}{3}, b = \frac{4}{3}$

$\Rightarrow a + b = \frac{6}{3} = 2$