Answer:
x =5 ±sqrt( 31)
Step-by-step explanation:
x² + 10x = 6
b = 10
Take b/2 and square it
(10/2) = 5 5^2 = 25
Add 25 to each side
x² + 10x+25 = 6+25
The left side will be (x+b/2)^2
(x+5)^2 = 31
Take the square root of each side
sqrt((x+5)^2) = ±sqrt( 31)
x+5 = ±sqrt( 31)
Subtract 5 from each side
x+5-5 = -5 ±sqrt( 31)
x =5 ±sqrt( 31)
