Question

find the solution set.
$4x^2 - 7x + 3 = 0$
separate the two values with a comma.
enter the correct answer.

Explanation:

Step1: Identify quadratic formula

For $ax^2+bx+c=0$, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Here $a=4$, $b=-7$, $c=3$

Step2: Calculate discriminant

$\Delta = b^2-4ac = (-7)^2-4(4)(3)=49-48=1$

Step3: Compute first root

$x_1=\frac{-(-7)+\sqrt{1}}{2(4)}=\frac{7+1}{8}=\frac{8}{8}=1$

Step4: Compute second root

$x_2=\frac{-(-7)-\sqrt{1}}{2(4)}=\frac{7-1}{8}=\frac{6}{8}=\frac{3}{4}$

Answer:

$1, \frac{3}{4}$