Advertisements
Advertisements
Question
If `sqrt(2)` is a root of the equation `"k"x^2 + sqrt(2x) - 4` = 0, find the value of k.
Advertisements
Solution
`"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
RELATED QUESTIONS
If ad ≠ bc, then prove that the equation (a2 + b2) x2 + 2 (ac + bd) x + (c2 + d2) = 0 has no real roots.
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 - 2(3k + 1)x + 8k + 1 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx - 4 = 0
Find the roots of the equation .`1/(2x-3)+1/(x+5)=1,x≠3/2,5`
Solve the following quadratic equation using formula method only
`2x^2 - 2 . sqrt 6x + 3 = 0`
In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root.
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.
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then:
If the roots of x2 – px + 4 = 0 are equal, the value (values) of p is ______.
One root of equation 3x2 – mx + 4 = 0 is 1, the value of m is ______.
