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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

If $x + y = 7$ and xy = 12,
the value of $(x^2 + y^2)$ is :

A. 25
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics

Find the values of k ε R subject to the following condition :
One root of $x^2 - 6x + k = 0$

D. 8
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If (x - 1/x) = 1/2 , then (4x2 + 4/x2) is equal to :

C. 9
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics

If the roots of the equations $x^2 + 3kx + 2 = 0$ are in the ratio of 1 : 2, then find the value of k.

B. ± 1
Posted in:  Quadratic Equations -  Algebra -  Mathematics