Question

What are the x-intercept(s) of the graph of the equation y − x2 = −4x − 5?

Answer 1

y=0 in x-intercept
\[y-x^{2}=-4x-5\]
\[y=x^{2}-4x-5\]
y=0 in x intercept.
\[0=x^{2}-4x-5\]
\[0=x^{2}+x-5x-5\]
\[0=x(x+1)-5(x+1)\]
\[0=(x-5)(x+1)\]
so, x=5 or x=-1