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Solving a Quadratic Equation by Factorization Method

If the time t...

Question

If the time taken to travel a distance of $15$ m is two less than the speed, what will be the resulting equation?

A

x^{2} - 2 x - 15 = 0

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B

x^{2} + 3 x - 15 = 0

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C

x^{2} - 4 x + 30 = 0

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D

x^{2} + 5 x + 15 = 0

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Solution

The correct option is A $x^{2} - 2 x - 15 = 0$
We know, $t i m e \times s p e e d = d i s t a n c e$
Let speed be $x$
$x (x - 2) = 15 \Rightarrow x^{2} - 2 x - 15 = 0$ is the required equation.

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