Question

PLEASE HELP ASAP; NEED CORRECT ANSWER! (10 POINTS) solve for x. use the completing square method. x^2+10x=6

Answer choices:


a) x=-5+ or- the square root of 6


b) x=-10+ or - the square root of 6


c) x=-10+ or -square root of 31


d) x=-5+ or - the square root of 31

- <---- minus sign; sorry for any confusions!

Answer 1

`\large\boxed{d)\ x=-5\pm√(31)}`

Explanation:

`x^2+10x=6\\\\x^2+2(x)(5)=6\qquad\text{add}\ 5^2\ \text{to both sides}\\\\x^2+2(x)(5)+5^2=6+5^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+5)^2=6+25\\\\(x+5)^2=31\iff x+5=\pm√(31)\qquad\text{subtract 5 from both sides}\\\\x=-5\pm√(31)`