Advertisements
Advertisements
प्रश्न
If x=−`1/2`, is a solution of the quadratic equation 3x2+2kx−3=0, find the value of k
Advertisements
उत्तर
It is given that x=−`1/2` is the solution of the quadratic equation 3x2+2kx−3=0
`:.3(-1/2)^2+2k(-1/2)-3=0`
`=>3/4-k-3=0`
`=>k=3/4-3=-9/4`
Hence, the value of k is `-9/4`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation for x :
9x2 − 6b2x − (a4 − b4) = 0
Determine the nature of the roots of the following quadratic equation:
(x - 2a)(x - 2b) = 4ab
Find the values of k for which the roots are real and equal in each of the following equation:
(2k + 1)x2 + 2(k + 3)x + (k + 5) = 0
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
Determine the nature of the roots of the following quadratic equation :
2x2 + 5x - 6 = 0
In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.
Find the discriminant of the following equations and hence find the nature of roots: 2x2– 3x + 5 = 0
Which constant must be added and subtracted to solve the quadratic equation `9x^2 + 3/4x - sqrt(2) = 0` by the method of completing the square?
Find the roots of the quadratic equation by using the quadratic formula in the following:
`1/2x^2 - sqrt(11)x + 1 = 0`
If 3 is a root of the quadratic equation x2 – px + 3 = 0, then p is equal to ______.
