Answer:
x = 5 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
x² - 10x + 26 = 8 ( subtract 26 from both sides )
x² - 10x = - 18
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 18 + 25
(x - 5)² = 7 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{7}[/tex] ( add 5 to both sides )
x = 5 ± [tex]\sqrt{7}[/tex] ← exact solutions
Answer:
[tex]x=5-\sqrt{7}\\x=5 +\sqrt{7}[/tex]
Step-by-step explanation:
[tex]x^2-10x+26-8=0\\x^2-10x+18=0\\x=\frac{10+2\sqrt{7} }{2\\}\\x=\frac{10-2\sqrt{7} }{2}\\x=5+\sqrt{7}\\x=5-\sqrt{7}[/tex]
