Advertisements
Advertisements
प्रश्न
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Advertisements
उत्तर
2x2 - 5x + 3 = 0
Discriminant- b2 - 4ac
(-5)2 - 4(2)(3)
= 25 -24
= 1
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
(4 - k)x2 + (2k + 4)x + 8k + 1 = 0
Form the quadratic equation whose roots are:
`sqrt(3) and 3sqrt(3)`
Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0
Discuss the nature of the roots of the following equation: `sqrt(3)x^2 - 2x - sqrt(3)` = 0
The quadratic equation whose one rational root is `3 + sqrt2` is
If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is:
Which of the following equations has two distinct real roots?
Find whether the following equation have real roots. If real roots exist, find them.
`1/(2x - 3) + 1/(x - 5) = 1, x ≠ 3/2, 5`
The value of 'a' for which the sum of the squares of the roots of 2x2 – 2(a – 2)x – a – 1 = 0 is least is ______.
The roots of the quadratic equation px2 – qx + r = 0 are real and equal if ______.
