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Solve $2 x^{2} - 5 x - 3 = 0$ by completing the square. The roots are:

Class 10Completing the SquareQuadratic Equations

A3 and $- \frac{1}{2}$
B-3 and $\frac{1}{2}$
C3 and $\frac{1}{2}$
D-3 and $- \frac{1}{2}$

Step-by-Step Solution

Divide by 2:

x^{2} - \frac{5}{2}

x - \frac{3}{2} = 0. (x - \frac{5}{4})^{2} = \frac{3}{2} + \frac{25}{16} = \frac{49}{16}, x - \frac{5}{4} = + / - \frac{7}{4}, x = 3

or

x = - \frac{1}{2}

.

Answer: A) 3 and

- \frac{1}{2}

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