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 roots are real and equal in each of the following equation:
kx(x - 2) + 6 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
kx2 + 6x + 1 = 0
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
(3x - 5)(2x + 7) = 0
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
kx2 + 2x + 3k = 0
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: x2 + (p – 3)x + p = 0.
Find the value(s) of m for which each of the following quadratic equation has real and equal roots: (3m + 1)x2 + 2(m + 1)x + m = 0
Choose the correct answer from the given four options :
Which of the following equations has two distinct real roots?
If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0.
