Advertisements
Advertisements
प्रश्न
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
3x2 + 2x - 1 = 0
Advertisements
उत्तर
3x2 + 2x - 1 = 0
Here, a = 3, b = 2 and c = -1
D = b2 - 4ac
= 4 - 4 x 3 x (-1)
⇒ D = 4 + 12
= 16 > 0.
संबंधित प्रश्न
Find that value of p for which the quadratic equation (p + 1)x2 − 6(p + 1)x + 3(p + 9) = 0, p ≠ − 1 has equal roots. Hence find the roots of the equation.
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2kx + 7k - 12 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
k2x2 - 2(2k - 1)x + 4 = 0
Find the value of the discriminant in the following quadratic equation :
x2 +2x+4=0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0
If – 5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k.
Find the values of k so that the quadratic equation (4 – k) x2 + 2 (k + 2) x + (8k + 1) = 0 has equal roots.
If the roots of ax2 + bx + c = 0 are in the ratio m : n, then:
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
Solve for x: 9x2 – 6px + (p2 – q2) = 0
