Question

Solve the equation by completing the square

x^2+8x-3=0
a-{-1-√19, -1+√19}
b-{-4-2√19, -4+2√19}
c- -4-√19,-4+ √19
d-{4+√19}

Answer 1

We got the quadratic equation:

`x^2+8x-3=0`

Solving by completing the square:

`x^2+8x-3=0\\x^2+8x+16-16-3=0\\(x+4)^2-16-3=0\\(x+4)^2-19=0\\(x+4)^2=19\\x+4=\pm √(19) \\x=-4\pm √(19) \\\\x_(1) =-4+√(19) \\x_(2) =-4-√(19)`

Therefore, the answer is letter C