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