Question

What is the solution of the equation (4x + 3)2 = 18?

Answer 1

ANSWER IS C <3 E=IGUNITY

Answer 2

Answer:

The solution is $\frac{3(-1\pm\sqrt2)}{4}$

Step-by-step explanation:

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

we have to find the solution of the given equation.

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

hence, the solution is $\frac{3(-1\pm\sqrt2)}{4}$