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Common Roots

If a,b, whe...

Question

If $a, b$ , where $a > b$ , are the roots of the quadratic equation $x^{2} + 3 x - 4 = 0$ , then the value of $5 a + b$ is

1

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none of these

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Solution

The correct option is D $1$
$x^{2} + 3 x - 4 = 0$
$x^{2} + 4 x - x - 4 = 0$
$(x + 4) (x - 1) = 0$
$x = 1, - 4$
$a = 1$ and $b = - 4$
$5 a + b = 1$

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