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Find the roots of the quadratic equation $2 x^{2} - 5 x + 3 = 0$ .

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\frac{3}{2}, 1

\frac{1}{2}, 1

\frac{3}{2}, 2

\frac{3}{2}, 4

answer is A.

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Detailed Solution

Given quadratic equation is,

2 x^{2} - 5 x + 3 = 0

Then,

2 x^{2} - 5 x + 3 = 0

\Rightarrow 2 x^{2} - 2 x - 3 x + 3 = 0

\Rightarrow 2 x (x - 1) - 3 (x - 1) = 0

\Rightarrow (2 x - 3) (x - 1) = 0

\Rightarrow (2 x - 3) = 0 or (x - 1) = 0

\Rightarrow x = \frac{3}{2} or \Rightarrow x = 1

Therefore, roots of the equation are

\frac{3}{2}, 1

.
Hence, option (1) is correct.

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