Question

If $z^2+4z-7=0$, then $z=-2\pm \sqrt{11}$.
If true then enter $1$ and if false then enter $0$

Answer 1

Given equation is:

$z^2+4z-7=0$
Applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$a=1,b=4,c=-7$
$z=\frac{-4\pm \sqrt{16-4\left(1\right)(-7)}}{2}$

$z=\frac{-4\pm \sqrt{44}}{2}$

$\therefore z=-2\pm \sqrt{11}$