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Sarene · Answer 1 · 2018-01-30T22:52:15+0000

Answer:

The solution is
$(3(-1\pm\sqrt2))/(4)$

Explanation:

Given the equation
(4x + 3)^2 = 18

we have to find the solution of the given equation.

$(4x + 3)^2 = 18\\\\16x^2+9+24x=18\\\\16x^2+24x-9=0\\\\\text{The solution is calculated by discriminant rule}\\\\x=(-b\pm√(b^2-4ac))/(2a)\\\\=(-24\pm√(576+576))/(32)\\\\=(-24\pm√(2(576)))/(32)\\\\=(-24\pm24√(2))/(32)\\\\=(3(-1\pm\sqrt2))/(4)$

hence, the solution is
$(3(-1\pm\sqrt2))/(4)$

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