HARD
10th Foundation
IMPORTANT
Earn 100

If the roots of the equation (a-b)x2+b-cx+(c-a)=0 are equal. Then _____.

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Important Questions on Quadratic Equations

HARD
10th Foundation
IMPORTANT
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2.The other copied the constant term and coefficient of x2 correctly as -6 and 1 respectively. The correct roots are _____.
HARD
10th Foundation
IMPORTANT
If one of the roots of 2x2+ax+32=0 is twice the other root, then the value of a is ______.
HARD
10th Foundation
IMPORTANT
For what value of a, the roots of the equation 2x2+6x+a=0, satisfy the condition αβ+βα<2 (where α and β are the roots of equation).
HARD
10th Foundation
IMPORTANT
Roots of the quadratic equation x2+x-a+1a+2=0 are _______.
HARD
10th Foundation
IMPORTANT
The roots of the equation 3x+5(x)-12=2 can be found by solving,
HARD
10th Foundation
IMPORTANT
If the roots of the equation a2+b2x2-2ba+cx+b2+c2=0 are equal, then ______.
MEDIUM
10th Foundation
IMPORTANT
Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation _______.
MEDIUM
10th Foundation
IMPORTANT
The roots of the equation x2/3+x1/3-2=0 are ______.