Grade 12Algebra
If the roots α and β (α + β ≠ 0) of the quadratic equation ax^2 + bx + c = 0 are real and of opposite sign. Then show that roots of the equation α(x - β)^2 + β(x - α)^2 = 0 are also real and of opposite sign.
If the roots α and β (α + β ≠ 0) of the quadratic equation ax^2 + bx + c = 0 are real and of opposite sign. Then show that roots of the equation α(x - β)^2 + β(x - α)^2 = 0 are also real and of opposite sign.
