Advertisements
Advertisements
प्रश्न
Find the value of the discriminant in the following quadratic equation :
10 x - `1/x` = 3
उत्तर
10 x - `1/x` = 3
10x2 - 3x - 1 = 0
Discriminant = b2 - 4ac
= (-3)2 - 4 (10) (-1)
= 9+ 40
= 49
APPEARS IN
संबंधित प्रश्न
Find the values of k for the following quadratic equation, so that they have two equal roots.
kx (x - 2) + 6 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
9x2 - 24x + k = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(2k + 1)x2 + 2(k + 3)x + (k + 5) = 0
Find the value of m for which the equation (m + 4)x2 + (m + 1)x + 1 = 0 has real and equal roots.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 5x + 7 = 0
Which of the following equations has 2 as a root?
If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.
(m – 12)x2 + 2(m – 12)x + 2 = 0
If x2 (a2 + b2) + 2x (ac + bd) + c2 +d2 = 0 has no real roots, then:
A quadratic equation with integral coefficient has integral roots. Justify your answer.
Find whether the following equation have real roots. If real roots exist, find them.
–2x2 + 3x + 2 = 0