Advertisements
Advertisements
प्रश्न
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Advertisements
उत्तर
7x2 + 8x + 2 = 0
Here a = 7, b = 8, c = 2
∴ D = b2 - 4ac
= (8)2 - 4 x 7 x 2
= 64 - 56
= 8
∴ Discriminant = 8
∵ D > 0
∴ Roots are real and distinct.
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the quadratic equation (k + 4) x2 + (k + 1) x + 1 = 0 has equal roots. Also find these roots.
Solve the following quadratic equation for x :
9x2 − 6b2x − (a4 − b4) = 0
Find the values of k for which the quadratic equation (3k + 1) x2 + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.
Find the value of p for which the quadratic equation (2p + 1)x2 − (7p + 2)x + (7p − 3) = 0 has equal roots. Also find these roots.
Find the value of m for which the equation (m + 4)x2 + (m + 1)x + 1 = 0 has real and equal roots.
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
3x2 – 5x + 2 = 0
For what values of k, the roots of the equation x2 + 4x +k = 0 are real?
Find the value of k for which the given equation has real roots:
kx2 - 6x - 2 = 0
Choose the correct answer from the given four options :
Which of the following equations has two distinct real roots?
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
