Advertisements
Advertisements
प्रश्न
Find the discriminant of the following equations and hence find the nature of roots: 16x2 - 40x + 25 = 0
Advertisements
उत्तर
16x2 - 40x + 25 = 0
a = 16, b = -40, c = 25
∴ D = b2 - 4ac
= (-40)2 - 4 x 16 x 25
= 1600 - 1600
= 0
∴ Discriminant = 0
∵ D = 0
∴ Roots are real and equal.
APPEARS IN
संबंधित प्रश्न
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + 3x + k = 0
Solve the following quadratic equation using formula method only
5x2 - 19x + 17 = 0
Find the value of k for which the roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x – 1)(x + 2) + 2 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x + 1)(x – 2) + x = 0
Find the nature of the roots of the quadratic equation:
4x2 – 5x – 1 = 0
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
