Question

If α and β are roots of the equation 5x^2-3x+4=0 find α^3β+αβ^3

Answer 1

Answer:

α³ß + αß³

Note:

★ The possible values of the variable which satisfy the equation are called its zeros .

★ A quadratic equation can have atmost two roots.

★ If α and ß are the roots of the quadratic equation ax² + bx + c , then ;

• Sum of roots , (α + ß) = -b/a

• Product of roots , (αß) = c/a