Find the values of a, b, c for the quadratic equation $2 x^{2} = x + 3$ by comparing with standard form $a x^{2} + b x + c = 0$ .

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Solution

Given quadratic equation is, $2 x^{2} = x + 3$
$2 x^{2} - x - 3 = 0$ , take all the terms to left hand side
$\Rightarrow 2 x^{2} + (- 1) x + (- 3) = 0$
Comparing with $a x^{2} + b x + c = 0$ we get
$a = 2, b = - 1, c = - 3$

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