Advertisements
Advertisements
प्रश्न
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4 , b = ______ , c = 3
b2 – 4ac = (– 5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
Advertisements
उत्तर
4x2 – 5x + 3 = 0
a = 4 , b = −5, c = 3
b2 – 4ac = (– 5)2 – 4 × 4 × 3
= 25 – 48
∴ b2 – 4ac = − 23
APPEARS IN
संबंधित प्रश्न
For what value of k, (4 - k)x2 + (2k + 4)x + (8k + 1) = 0, is a perfect square.
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" = 3`
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
2x2 - (3k + 1)x - k + 7 = 0.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 0
Find the values of k for which each of the following quadratic equation has equal roots: x2 – 2kx + 7k – 12 = 0 Also, find the roots for those values of k in each case.
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is:
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then:
If the roots of equation 3x2 + 2x + (p + 2) (p – 1) = 0 are of opposite sign then which of the following cannot be the value of p?
(x2 + 1)2 – x2 = 0 has ______.
Find the roots of the quadratic equation by using the quadratic formula in the following:
5x2 + 13x + 8 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`sqrt(2)x^2 - 3/sqrt(2)x + 1/sqrt(2) = 0`
Find the value of 𝑚 so that the quadratic equation 𝑚𝑥(5𝑥 − 6) = 0 has two equal roots.
Solve the quadratic equation: `x^2 + 2sqrt(2)x - 6` = 0 for x.
Find the nature of the roots of the quadratic equation:
4x2 – 5x – 1 = 0
Find the value of 'k' so that the quadratic equation 3x2 – 5x – 2k = 0 has real and equal roots.
The sum of all integral values of k(k ≠ 0) for which the equation `2/(x - 1), 1/(x - 2) = 2/k` in x has no real roots, is ______.
Assertion (A): If one root of the quadratic equation 4x2 – 10x + (k – 4) = 0 is reciprocal of the other, then value of k is 8.
Reason (R): Roots of the quadratic equation x2 – x + 1 = 0 are real.
The roots of quadratic equation x(x + 8) + 12 = 0 are ______.
If one root of equation (p – 3) x2 + x + p = 0 is 2, the value of p is ______.
