SOLUTION: How would I find the points at which the parabola formed y=x^2 and the line formed by y=2x+3 intersect?

Question 262245: How would I find the points at which the parabola formed y=x^2 and the line formed by y=2x+3 intersect?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
How would I find the points at which the parabola formed y=x^2 and the line formed by y=2x+3 intersect?
.
Set them equal to each other and solve for x:
x^2 = 2x + 3
x^2 -2x = 3
x^2 -2x -3 = 0
(x-3)(x+1) = 0
x = {3,-1}
.
To find the corresponding y, plug into either of the two equations and solve for y:
when x=3
y=x^2=3^2 = 9
y=x^2=(-1)^2 = 1
.
Therefore, the points are
(3, 9)
and
(-1, 1)
RELATED QUESTIONS
How would I find the points at which the parabola formed y=x^2 and the line formed by... (answered by Alan3354)

Find the area of the triangle formed by x and y axis and the tangent line to {{{ f(x) (answered by josgarithmetic)

Find the area of the triangle formed by x and y axis and tangent line to {{{ f(x) =... (answered by josgarithmetic)

how would you find the angle formed by the line y=... (answered by Alan3354)

find the measure of the angle formed by the line & X-axis [y=2x+5] and... (answered by rfer)

Points X, Y and Z lie on the sides of triangle ABC so that segments AX, BY and CZ, if... (answered by stanbon)

Line A is formed by using the points (-1,6) and (3,-2). Line B is formed by using the... (answered by josgarithmetic,MathTherapy)

Find the ratio in which the line x+y=2 divides the line formed by the coordinates (-1,1) (answered by josmiceli)

Find the x- and y-intercepts of the line, and find the area and the perimeter of the... (answered by ewatrrr)