Advertisements
Advertisements
प्रश्न
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
उत्तर
Given quadratic equation is x2 + 4x + 5 = 0
D = b2 – 4ac
= (4)2 – 4(1)(5)
= 16 – 20
= – 4
Since D < 0, the roots of the given quadratic equation does not exist.
APPEARS IN
संबंधित प्रश्न
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 - 5x - k = 0
Solve the following quadratic equation using formula method only
`3"x"^2 + 2 sqrt 5x - 5 = 0 `
Solve the following quadratic equation using formula method only
5x2 - 19x + 17 = 0
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 5x + 7 = 0
The roots of the quadratic equation `2"x"^2 - 2sqrt2"x" + 1 = 0` are:
α and β are the roots of 4x2 + 3x + 7 = 0, then the value of `1/α + 1/β` is:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
If 4 is a root of equation x2 + kx – 4 = 0; the value of k is ______.