Question

5x^2=4x+7
Solve by Completing the square method!

Answer 1

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Answer 2

GIVEN
5x^2=4x+7
5x^2 - 4x - 7 = 0
Multiply by 5
25x^2 - 20x - 35 = 0
2ab = - 20
Where a = 5
10b = - 20
b = - 2
(5x - 2)^2 + (-2)^2 - 35 = 0
(5x - 2)^2 - 4 - 35 = 0
(5x - 2)^2 = 39
$5x \: - 2 = + - \sqrt{39 } \\ 5x =2 + - \sqrt{39} \\ x = \frac{2 + - \sqrt{39} }{5} \\ take \: + \\ x = \frac{2 + \sqrt{39} }{5} \\ take \: - \\ x = \frac{2 - \sqrt{39} }{5}$