Find the range of values of $m$ for which the line $y=mx-2$ does not intersect the curve \(y=x^2

Question

Find the range of values of $m$ for which the line $y=mx-2$ does not intersect the curve $y=x^2+1.$

Accepted Answer

$-2\sqrt3<m<2\sqrt3$.

Quadratic Functions, Equations and Inequalities