Question

In the following question, two equations I and II are given. Find the values of a and b and choose the appropriate answer.

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

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

• A. if a < b
• B. if a ≤ b
• C. if a ≥ b
• D. if a = b
• E. if a > b

Answer 1

The correct option is A

if a < b

$\begin{array}{c}2a^2+6a-a-3=0\Rightarrow \left(2a-1\right)\left(a+3\right)=0\Rightarrow a=\pm \frac{1}{2},-3\\ Also,2b^2-2b-3b+3=0\Rightarrow \left(2b-3\right)\left(b-1\right)=0\Rightarrow b=\frac{3}{2},1\end{array}$