Find the points of intersection (if any) of the given pair of curves. $y = x ^ { 2 }$ and y = 3x - 2.
A) There are no points of intersection.
B) (2, 4)
C) (1, 1), (2, 4)
D) (0,0)

Question

Quizplus · Accepted Answer

To find the points of intersection, set the equations equal to each other: $x^2 = 3x - 2$. Rearrange to get $x^2 - 3x + 2 = 0$, which factors to $(x - 1)(x - 2) = 0$. Thus, $x = 1$ and $x = 2$. Substituting these values back into either original equation gives the points (1, 1) and (2, 4).

Find the Points of Intersection (If Any) of the Given y=x2y = x ^ { 2 }y=x2

Find the Points of Intersection (If Any) of the Given $y = x ^ { 2 }$