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प्रश्न
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?
पर्याय
– 16
16
8
4
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उत्तर
16
संबंधित प्रश्न
Find the values of k for the following quadratic equation, so that they have two equal roots.
2x2 + kx + 3 = 0
If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.
If ad ≠ bc, then prove that the equation (a2 + b2) x2 + 2 (ac + bd) x + (c2 + d2) = 0 has no real roots.
Without solving the following quadratic equation, find the value of ‘p’ for which the roots are equal.
px2 – 4x + 3 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + 4x + 1 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
x2 - kx + 9 = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
Find the value of the discriminant in the following quadratic equation:
x2 +2x-2=0
`(2)/x^2 - (5)/x + 2` = 0
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
Determine whether the given values of x is the solution of the given quadratic equation below:
6x2 - x - 2 = 0; x = `(2)/(3), -1`.
Find the value of k for which the given equation has real roots:
kx2 - 6x - 2 = 0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
`2sqrt(3)x^2 - 2sqrt(2)x - sqrt(3) = 0`
Solve the following by reducing them to quadratic equations:
z4 - 10z2 + 9 = 0.
If a is a root of the equation x2 – (a + b)x + k = 0, find the value of k.
Which of the following equations has two distinct real roots?
Every quadratic equation has exactly one root.
Solve for x: `5/2 x^2 + 2/5 = 1 - 2x`.
If α and β be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which `(α/β)^n` = 1 is ______.
If α, β are roots of the equation x2 + px – q = 0 and γ, δ are roots of x2 + px + r = 0, then the value of (α – y)(α – δ) is ______.
