Overview
Find sum and products of roots of quadratic equation Form quadratic equation given sum and products of roots State condition for the quadratic equation to have equal roots, real roots and no roots Identify related conditions for the given line to intersect a given curve, be tangent to curve, not intersect curve Solve various types of problems on roots of quadratic equations
What you'll learn
- Sum and product of roots of quadratic equation α+β = -b/a αβ = c/a
- Finding quadratic equation given sum and product of roots x2 – (sum of roots) + (product) = 0
- Condition for the quadratic equation to have
- - Equal roots (b2=4ac)
- - Real roots b2>4ac
- - No roots b2<4ac
- Conditions for a given line to intersect a curve, be tangent to curve, not intersect a curve.
- Solution of problems on roots of quadratic equation