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Solve the quadratic equation by completing the square method. 5x^2 = 4x + 7

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Solve the quadratic equation by completing the square method.

5x2 = 4x + 7

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5x2 = 4x + 7

∴ 5x2 – 4x – 7 = 0

Comparing the coefficients, we get

Taking square root of both sides, we get

∴ The roots of the given quadratic equation are \(\frac{2 + \sqrt{39}}{5}\) and \(\frac{2 - \sqrt{39}}{5}.\)

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