The roots of the equation $2 x^{2} - 11 x + 15 = 0$

3, \frac{5}{2}

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5, \frac{3}{2}

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- 3, - \frac{5}{2}

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None of these

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Solution

The correct option is A $3, \frac{5}{2}$
Given equation is: $2 x^{2} - 11 x + 15 = 0$
$2 x^{2} - 6 x - 5 x + 15 = 0$
$2 x (x - 3) - 5 (x - 3) = 0$
$(2 x - 5) (x - 3) = 0$

$∴ x = \frac{5}{2}$ and $x = 3$ .

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Similar questions

2 x^{2} + 5 x y + 2 y^{2} - 11 x - 7 y - 4 = 0

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

x^{3} + 6 x^{2} + 11 x + 6 = 0

The equations of the asymptotes of the hyperbola $2 x^{2} + 5 x y + 2 y^{2} - 11 x - 7 y - 4 = 0$ are

- 2 \sqrt{3}, \frac{- \sqrt{3}}{2}

2 x^{2} + 5 \sqrt{3} x + 6 = 0

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