Solve for x. use the completing the square method. x² + 10x = 6
x=−10±31−−√
x=−10±6√
x=−5±31−−√
x=−5±6√

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)