In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer.

I. $2 a^{2} + 5 a - 3 = 0$

II. $2 b^{2} - 5 b + 3 = 0$

if a < b

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if a ≤ b

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if a = b

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if a > b

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Solution

The correct option is A
if a < b

$\begin{matrix} 2 a^{2} + 6 a - a - 3 = 0 \Rightarrow (2 a - 1) (a + 3) = 0 \Rightarrow a = \pm \frac{1}{2}, - 3 A l s o, 2 b^{2} - 2 b - 3 b + 3 = 0 \Rightarrow (2 b - 3) (b - 1) = 0 \Rightarrow b = \frac{3}{2}, 1 \end{matrix}$

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