For what values of do the lines with equations intersect the parabola in two distinct…

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

For what values of

c

do the lines with equations

y = 3x + c

intersect the parabola

y = x^2 + x - 5

in two distinct points? Choose one such value of

c

and find the points of intersection in this case.