Respuesta :

Answer:

The answer is ±0.5 or ±1/2

Step-by-step explanation:

When you solve by using the quadratic formula, you get double roots that will solve the equation. Hope this helps!!

The solution of the quadratic equation is 1/2 and 1/2.

We have to find, the solution of the quadratic equation is [tex]4x^2 + 3 = 4x + 2[/tex].

To determine the solution of the quadratic equation following all the steps given below.

Equation; [tex]4x^2 + 3 = 4x + 2[/tex]

  • Step1; The equation is written in the standard form of the quadratic equation.

        [tex]4x^2 + 3 = 4x + 2\\\\4x^2 + 3 - 4x - 2=0\\\\4x^2 -4x +1 =0[/tex]

  • Step2; Factorize the equation for finding the solution of the equation,

                    [tex]\rm 4x^2-4x +1 = 0\\\\4x^2-2x -2x + 1= 0\\\\2x(2x-1) - 1 (2x-1)=0\\\\(2x-1) ( 2x-1) = 0[/tex]

  • Step3; The solution for the equation is,

                    [tex]\rm 2x- 1= 0 , \ 2x = 1 , \ x = \dfrac{1}{2}\\\\And \ 2x- 1= 0 , \ 2x = 1 , \ x = \dfrac{1}{2}\\\\[/tex]

Hence, The required solution of the equation is 1/2 and 1/2.

For more details refer to the link given below.

https://brainly.com/question/19776811