Advertisements
Advertisements
प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
2kx2 - 40x + 25 = 0
उत्तर
The given quadric equation is 2kx2 - 40x + 25 = 0, and roots are real and equal
Then find the value of k.
Here, a = 2k, b = -40 and c = 25
As we know that D = b2 - 4ac
Putting the value of a = 2k, b = -40 and c = 25
= (-40)2 - 4 x (2k) x (25)
=1600 - 200k
The given equation will have real and equal roots, if D = 0
Thus,
1600 - 200k = 0
200k = 1600
k = 1600/200
k = 8
Therefore, the value of k = 8.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0
Find the values of k for which the quadratic equation (k + 4) x2 + (k + 1) x + 1 = 0 has equal roots. Also find these roots.
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Form the quadratic equation if its roots are –3 and 4.
Solve the following quadratic equation using formula method only
3a2x2 +8abx + 4b2 = 0, a ≠ 0
Determine, if 3 is a root of the given equation
`sqrt(x^2 - 4x + 3) + sqrt(x^2 - 9) = sqrt(4x^2 - 14x + 16)`.
In each of the following, determine whether the given numbers are roots of the given equations or not; 3x2 – 13x – 10 = 0; 5, `(-2)/(3)`
If `(1)/(2)` is a root of the equation `x^2 + kx - (5)/(4) = 0`, then the value of k is ______.
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?
Every quadratic equations has at most two roots.
