Advertisements
Advertisements
प्रश्न
Without solving the following quadratic equation, find the value of ‘p’ for which the roots are equal.
px2 – 4x + 3 = 0
Advertisements
उत्तर
px2 – 4x + 3 = 0
Here a = p, b = −4 and c = 3
Given equation has equal roots
Then D = 0
`=>` b2 – 4ac = 0
`=>` [–4]2 – 4(p)(3) = 0
`=>` 16 – 12p = 0
`=>` –12p = –16
`=> p = (-16)/(-12) = 4/3`
APPEARS IN
संबंधित प्रश्न
If 1 is a root of the quadratic equation 3x2 + ax – 2 = 0 and the quadratic equation a(x2 + 6x) – b = 0 has equal roots, find the value of b ?
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 5x + 7 = 0
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
–x2 + 7x – 10 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`sqrt(2)x^2 - 3/sqrt(2)x + 1/sqrt(2) = 0`
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
The roots of quadratic equation x2 – 1 = 0 are ______.
