Advertisements
Advertisements
प्रश्न
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 + 5x + 15 = 0.
उत्तर
x2 + 5x + 15 = 0
Here, aa= 1, b = 5 and c = 15
D = b2 - 4ac
= (5)2 - 4 x 1 x 15
= 25 - 60
= -35
⇒ D < 0
roots are imaginary.
APPEARS IN
संबंधित प्रश्न
Find the values of k for the following quadratic equation, so that they have two equal roots.
2x2 + kx + 3 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2(k + 1)x + (k + 4) = 0
Solve the following quadratic equation using formula method only
`3"x"^2 + 2 sqrt 5x - 5 = 0 `
For what values of k, the roots of the equation x2 + 4x +k = 0 are real?
Find the values of k so that the quadratic equation (4 – k) x2 + 2 (k + 2) x + (8k + 1) = 0 has equal roots.
The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:
The roots of the equation 7x2 + x – 1 = 0 are:
If α, β are roots of the equation x2 + px – q = 0 and γ, δ are roots of x2 + px + r = 0, then the value of (α – y)(α – δ) is ______.
If 4 is a root of equation x2 + kx – 4 = 0; the value of k is ______.
Which of the following equations has two real and distinct roots?