Advertisements
Advertisements
Question
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
Advertisements
Solution
3x2 – 7x + 8 = 0
Here a = 3, b = –7, c = 8
∴ D = b2 – 4ac
= (–7)2 – 4 x 3 x 8
= 49 – 96
= –47
∵ D < 0
∴ Roots are not real.
APPEARS IN
RELATED QUESTIONS
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2kx + 7k - 12 = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Determine the nature of the roots of the following quadratic equation :
x2 -4x + 4=0
Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:
kx2 + 6x - 3k = 0, k ≠ 0
Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:
(k + 1)x2 + (2k + 1)x - 9 = 0, k + 1 ≠ 0.
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
Find the value(s) of k for which each of the following quadratic equation has equal roots: (k + 4)x2 + (k + 1)x + 1 =0 Also, find the roots for that value (s) of k in each case.
If –5 is a root of the quadratic equation 2x2 + px – 15 = 0, then:
(x2 + 1)2 – x2 = 0 has:
