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, we set the equations equal to each other: $x^2 = 3x - 2$. Rearranging gives $x^2 - 3x + 2 = 0$, which factors to $(x - 1)(x - 2) = 0$. Thus, $x = 1$ and $x = 2$ are the solutions. Substituting these back into either original equation gives the points of intersection as (1, 1) and (2, 4).

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

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