Advertisements
Advertisements
Question
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
3x2 + 2x - 1 = 0
Advertisements
Solution
3x2 + 2x - 1 = 0
Here, a = 3, b = 2 and c = -1
D = b2 - 4ac
= 4 - 4 x 3 x (-1)
⇒ D = 4 + 12
= 16 > 0.
RELATED QUESTIONS
Write the value of k for which the quadratic equation x2 − kx + 4 = 0 has equal roots.
Find the value of m for which the equation (m + 4)x2 + (m + 1)x + 1 = 0 has real and equal roots.
For what values of k, the roots of the equation x2 + 4x +k = 0 are real?
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
If b2 – 4ac > 0 and b2 – 4ac < 0, then write the nature of roots of the quadratic equation for each given case
If α + β = 4 and α3 + β3 = 44, then α, β are the roots of the equation:
Find whether the following equation have real roots. If real roots exist, find them.
–2x2 + 3x + 2 = 0
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
The roots of quadratic equation x(x + 8) + 12 = 0 are ______.
