Advertisements
Advertisements
प्रश्न
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
Advertisements
उत्तर
Given that,
`\implies 3x^2 - 2x + 1/3` = 0
Discriminant = `(-2)^2 - 4(3)(1/3)`
= 4 – 4
= 0
So, the given quadratic equation has real and equal roots.
APPEARS IN
संबंधित प्रश्न
Determine the nature of the roots of the following quadratic equation:
(x - 2a)(x - 2b) = 4ab
Solve the following quadratic equation using formula method only
4 - 11 x = 3x2
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
Find the value of k for which equation 4x2 + 8x – k = 0 has real roots.
Determine, if 3 is a root of the given equation
`sqrt(x^2 - 4x + 3) + sqrt(x^2 - 9) = sqrt(4x^2 - 14x + 16)`.
Find the value of k for which the given equation has real roots:
9x2 + 3kx + 4 = 0.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 + 5x + 15 = 0.
Solve the following by reducing them to quadratic equations:
x4 - 26x2 + 25 = 0
Equation (x + 1)2 – x2 = 0 has ____________ real root(s).
Which of the following equations has imaginary roots?
