Answer:
[tex] x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}[/tex]
[tex] x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}[/tex]
Step-by-step explanation:
We have the following equation:
[tex] x^2 -18 x +8 =0[/tex]
We can use the quadratic formula given by:
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Where:
[tex] a = 1 , b=-18, c =8[/tex]
And replacing we got:
[tex] x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}[/tex]
[tex] x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}[/tex]
