Advertisements
Advertisements
Question
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
Solution
`3x^2 - 2x + (1)/(3)` = 0
Here a = 3, b = -2, c = `(1)/(3)`
∴ D = b2 - 4ac
= `(-2)^2 - 4 xx 3 xx (1)/(3)`
= 4 - 4
= 0
∵ D = 0
∴ Roots are real and equal.
APPEARS IN
RELATED QUESTIONS
Determine the nature of the roots of the following quadratic equation:
(x - 2a)(x - 2b) = 4ab
Find the values of k for which the roots are real and equal in each of the following equation:
9x2 - 24x + k = 0
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Choose the correct answer from the given four options :
If the equation 3x² – kx + 2k =0 roots, then the the value(s) of k is (are)
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
What is the value of discriminant for the quadratic equation X2 – 2X – 3 = 0?
If a = 1, b = 4, c = – 5, then find the value of b2 – 4ac
The roots of the equation 7x2 + x – 1 = 0 are:
The roots of quadratic equation 5x2 – 4x + 5 = 0 are:
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
