Question

4x^2 - 24x + 7 = 3
I don't understand how to get to the final answer of
x= 3 ± 2sqrt2

Answer 1

4x² - 24x +7-3 =0
4x² - 24x + 4=0 /:4
x² - 6x +1=0
Use formula

$x = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} For our equation a=1, b= - 6, c = 1 x= (6+/- \sqrt{36-4)}/2 = \frac{-6+/- \sqrt{32} }{2} = \frac{-6+/- \sqrt{16*2} }{2} = \frac{-6+/-4 \sqrt{2} }{2} = -3 +/- 2\sqrt{2}$