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)

Question

pfenn1 · Answer

Set y = 0 and solve for x.

pfenn1 · Answer

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

mathslover · Answer

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$$

mathslover · Answer

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