Advertisements
Advertisements
प्रश्न
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
उत्तर
Given the quadratic equation is (x + 5)2 = 2 (5x − 3).
⇒ x2 +25 +10x =10x -6
⇒ x2 + 31 = 0
⇒ x2 +0x +31 = 0
So, the discriminant will be
D =b2 -4ac
= 02 - 4 × 1 × 31= -124
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:
x2 - 2(5 + 2k)x + 3(7 + 10k) = 0
If x = −2 is a root of the equation 3x2 + 7x + p = 1, find the values of p. Now find the value of k so that the roots of the equation x2 + k(4x + k − 1) + p = 0 are equal.
Solve the following quadratic equation using formula method only
4x2 + 12x + 9 = 0
In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.
Equation (x + 1)2 – x2 = 0 has ____________ real root(s).
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x – 1)(x + 2) + 2 = 0
Every quadratic equations has at most two roots.
Find the value(s) of 'a' for which the quadratic equation x2 – ax + 1 = 0 has real and equal roots.
The number of integral values of m for which the equation (1 + m2)x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is ______.