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 the sum of the roots of the equation $x^2 + 8x + 2 - k = 0$ is twice the product of the roots.
Then find k.

D. 6
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Arvind starts walking  at 2 p.m. with the speed of 5 km/hr from P to Q.
Gopal goes on cycle at 3 p.m. with 10 km/hr from P to Q.
At what time Gopal will cross Arvind ? 

D. 4.00 P.M.

Find the values of k ε R subject to the following condition :
The diffrenence between the roots of $x^2 + kx + 4 = 0 is 3.$

B. ± 5
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One of the factors of 3x3 + x2 - 12x - 4 is :

D. 3X + 1