Question

Solve for x in the equation 3x2 - 18x+5=47.

Answer 1

Answer:

$x=3\pm\sqrt{23}$

Step-by-step explanation:

Complete the Square

$3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}$