Question

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

Answer 1

ANSWER IS C <3 E=IGUNITY

Answer 2

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)`