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

x = StartFraction 3 Over 2 EndFraction and x = –3
x = StartFraction negative 3 Over 2 EndFraction and x = 3
x = StartFraction negative 3 + 3 StartRoot 2 EndRoot Over 4 EndFraction and x = StartFraction negative 3 minus 3 StartRoot 2 EndRoot Over 4 EndFraction
x = StartFraction 3 + 3 StartRoot 2 EndRoot Over 4 EndFraction and x = StartFraction negative 3 + 3 StartRoot 2 EndRoot Over 4 EndFraction

Respuesta :

Step-by-step explanation:

open brackets by multiplying with 2

8x+6=18

8x=12

x=3/2

The solution of the quadratic equation using the discriminant formula is option C. -3 ± √18 / 4 or 0.31 and a negative of 1.81.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The quadratic expression is given as

(4x + 3)² = 18

On solving, we have

(4x + 3)² = 18

(4x + 3) = √18

  4x = - 3 ± √18

 x = -3 ± √18 / 4

Therefore, x = 0.31, -1.81

The solution of the quadratic equation using the discriminant formula is option C. -3 ± √18 / 4 or 0.31 and a negative of 1.81.

More about the quadratic equation link is given below.

brainly.com/question/2263981

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