Advertisements
Advertisements
प्रश्न
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
Advertisements
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
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
In the following determine the set of values of k for which the given quadratic equation has real roots:
kx2 + 6x + 1 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
3x2 + 2x + k = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx - 4 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 2x + 1 = 0
Find the value(s) of k so that the quadratic equation 3x2 − 2kx + 12 = 0 has equal roots ?
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 2x + 4 = 0
Choose the correct answer from the given four options :
Which of the following equations has two distinct real roots?
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
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 ______.
