Question

Find the roots of the quadratic equation 2x² - 5x + 3 = 0, if they exist, by the method of completing
the square.​

Answer 1

Step-by-step explanation:

$x = \frac{3}{2 } \: \: \ \: x = 1$

Answer 2

Answer:

$\bf x=\frac32 \ or \ 1$

Step-by-step explanation:

$\bf 2x^2-5x+3=0\\\\2x^2-5x=-3\\\\Multiplying \ by \ 4a=8\\\\16x^2-40x=-24\\\\Adding\ both \ sides \ b^2=(-5)^2=25\\\\16x^2-40x+25=-24+25\\\\(4x)^2-2(4x)(5)+5^2=1\\\\(4x-5)^2=1\\\\4x-5=\pm1\\\\4x=5\pm1 \\\\\bf x=\frac32 \ or \ 1$