Question

What are the x-intercept(s) of the graph of y - x^2 = -3x - 10?
A:(2, 0) and (-5, 0)
B:(-2, 0) and (5, 0)
C:(-2, 0) and (-5, 0)
D:(2, 0) and (5, 0)

Answer 1

Set y = 0 and solve for x.

Answer 2

\[0 - x^2 = -3x - 10?\]\[x^2-3x-10=0\]Either factor or use the quadratic formula to solve.

Answer 3

we have to find x - intercept this means that y = 0 since this equation should lie on real axis
hence putting y = 0
\[0-x^2=-3x-10\]
\[-x^2=-3x-10\]
\[x^2-3x-10=0\]
\[x^2+2x-5x-10=0]
\[x(x+2)-5(x+2)=0\]
\[(x-5)(x+2)=0\]
\[x=5 , x=-2\]

Answer 4

hence it is (-2,0)(5,0)