Question

Solve the following quadratic equation by completing the square method:
4x²+3=-4√3x.

Answer 1

Answer:

x =√ 0.201 = -0.44829

x =√ 0.201 = 0.44829

x =√ 2.799 = -1.67303

x =√ 2.799 = 1.67303

Step-by-step explanation:

$4x^{2} + 3 = 4\sqrt{3}x \\4x^{2} + 3 - 4\sqrt{3}x = 0\\16x^{4} + 9 - 48x^{2}  = 0\\((16 x^{4} ) -  (72x^{2} )) +  9  = 0$