Advertisements
Advertisements
प्रश्न
If `sqrt(2)` is a root of the equation `"k"x^2 + sqrt(2x) - 4` = 0, find the value of k.
Advertisements
उत्तर
`"k"x^2 + sqrt(2x) - 4 = 0, x = sqrt(2)`
x = `sqrt(2)` is its solution
∴ `"k"(sqrt(2))^2 + sqrt(2) xx sqrt(2) - 4` = 0
⇒ 2k + 2 - 4 = 0
⇒ 2k - 2 = 0
⇒ 2k = 2
⇒ k = `(2)/(2)`
∴ k = 1
APPEARS IN
संबंधित प्रश्न
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:
5x2 - 4x + 2 + k(4x2 - 2x - 1) = 0
For what value of k, (4 – k)x2 + (2k + 4)x + (8k + 1) = 0, is a perfect square.
Determine the nature of the roots of the following quadratic equation :
x2 -4x + 4=0
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Without solving the following quadratic equation, find the value of ‘p’ for which the given equation has real and equal roots:
x² + (p – 3) x + p = 0
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
