Question

35 points + brainliest!

Answer 1

Answer:

x= -2-√11. or. x= -2 + √11

Step-by-step explanation:

solving quadratic equation by completing the square

x^2+4x-7=0

x^2+4x=7

x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides

x^2+4x + 4=7 + 4

x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2

(x + 2)^2=11

√(x + 2)^2= + - √11

x + 2 = + - √11

there are two different solution .

x + 2 = -√11. or x + 2 = + √11.

x= -2-√11. or. x= -2 + √11.