How do you solve x^2 + 4x = 6x2+4x=6 by completing the square?

2 Answers
Mar 31, 2018

Solution: x=-2+ sqrt10 and x= -2- sqrt10x=2+10andx=210

Explanation:

x^2+4x=6 or x^2+4x+4=6+4 x2+4x=6orx2+4x+4=6+4 or

(x+2)^2=10 or x+2 =+- sqrt 10(x+2)2=10orx+2=±10 or

x=-2+- sqrt10x=2±10

:.x=-2+ sqrt10 and x= -2- sqrt10

Solution: x=-2+ sqrt10 and x= -2- sqrt10 [Ans]

Mar 31, 2018

x^2+4x=6

Adding 4 on both sides.

=>x^2+4x +4 =6 + 4

=>(x+2)^2 =10

=> x+2 = +-sqrt10

=> x = -2 +- sqrt10