Advertisements
Advertisements
प्रश्न
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
Advertisements
उत्तर
2x2 + 15x + 30 = 0
Here a = 2, b = 15, c = 30
∴ D = b2 - 4ac
= (15)2 - 4 x 2 x 30
= 225 - 240
= -15
∴ Discriminant = -15
∵ D < 0
∴ Root are not real.
APPEARS IN
संबंधित प्रश्न
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 – 6x + 3 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx - 4 = 0
What is the nature of roots of the quadratic equation 4x2 – 12x – 9 = 0?
Solve the following quadratic equation using formula method only :
`2x + 5 sqrt 3x +6= 0 `
Solve the following quadratic equation using formula method only
25x2 + 30x + 7 = 0
Find the value of k for which the roots of the equation 3x2 – 10x + k = 0 are reciprocal of each other.
In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
If b and c are odd integers, then the equation x2 + bx + c = 0 has ______.
