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

Answer:

We got the quadratic equation:

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

Solving by completing the square:

$x^2+8x-3=0\\x^2+8x+16-16-3=0\\(x+4)^2-16-3=0\\(x+4)^2-19=0\\(x+4)^2=19\\x+4=\pm \sqrt{19} \\x=-4\pm \sqrt{19} \\\\x_{1} =-4+\sqrt{19} \\x_{2} =-4-\sqrt{19}$

Therefore, the answer is letter C