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If $x^2 - 6x + α = 0 has two roots α, β and 3α + 2β = 20, then find a.

A. - 16
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If the roots of the equation $x^2 - 10x + k - 1 = 0$ are α and β and $α^3 + β^3 = 70$,
then find the value of k.

A. 32
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If α and β are the roots of the equation
$x^2 - 9x + 8 = 0$ (α > β) then find the value of
$α^2 - β^2$.

C. 65
Posted in:  Quadratic Equations -  Algebra -  Mathematics

Find the values of k ε R subject to the following condition :
Two roots of $x^2 +(k - 2)x + (2k + 1) = 0$ are equal.

D. 0, 12
Posted in:  Quadratic Equations -  Algebra -  Mathematics

Find the values of k ε R subject to the following condition :
The sum of the roots of $3x^2 + kx - 2 = 0$ is 6.

B. - 18
Posted in:  Quadratic Equations -  Algebra -  Mathematics