Advertisements
Advertisements
प्रश्न
If `(1)/(2)` is a root of the equation `x^2 + kx - (5)/(4) = 0`, then the value of k is ______.
पर्याय
2
– 2
`(1)/(4)`
`(1)/(2)`
Advertisements
उत्तर
If `(1)/(2)` a root of the equation `x^2 + kx - 5/4 = 0`, then the value of k is 2.
Explanation:
`(1)/(2)` is a root of the equation
x2 + kx – `(5)/(4)` = 0
Substituting the value of x = `(1)/(2)` in the equation
`(1/2)^2 + k xx (1)/(2) - (5)/(4)` = 0
⇒ `(1)/(4) + k/(2) - (5)/(4)` = 0
⇒ `k/(2) - 1` = 0
⇒ k = 1 × 2 = 2
∴ k = 2
संबंधित प्रश्न
If the roots of the equations ax2 + 2bx + c = 0 and `bx^2-2sqrt(ac)x+b = 0` are simultaneously real, then prove that b2 = ac.
Determine the nature of the roots of the following quadratic equation :
(x - 1)(2x - 7) = 0
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 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
Solve x2/3 + x1/3 - 2 = 0.
Choose the correct answer from the given four options :
If the equation 2x² – 5x + (k + 3) = 0 has equal roots then the value of k is
Choose the correct answer from the given four options :
The value(s) of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are)
Discuss the nature of the roots of the following equation: `x^2 - (1)/(2)x - 4` = 0
The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:
α and β are the roots of 4x2 + 3x + 7 = 0, then the value of `1/α + 1/β` is:
