Advertisements
Advertisements
प्रश्न
If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0.
विकल्प
1
–1
2
–2
Advertisements
उत्तर
1
Explanation:
Since the roots are real and equal,
∆ = 0
∴ b2 – 4ac = 0
∴ (2)2 – 4(1)(k) = 0
∴ 4 – 4k = 0
∴ k = 1
APPEARS IN
संबंधित प्रश्न
Solve for x: `1/(x+1)+2/(x+2)=4/(x+4), `x ≠ -1, -2, -3
Without solving, examine the nature of roots of the equation 4x2 – 4x + 1 = 0
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 3x + 5 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
2kx2 - 40x + 25 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 6x + 1 = 0
Write the value of k for which the quadratic equation x2 − kx + 4 = 0 has equal roots.
Find the value of the discriminant in the following quadratic equation :
10 x - `1/x` = 3
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).
48x² – 13x -1 = 0
In each of the following determine the; value of k for which the given value is a solution of the equation:
kx2 + 2x - 3 = 0; x = 2
If `(2)/(3)` and – 3 are the roots of the equation px2+ 7x + q = 0, find the values of p and q.
Discuss the nature of the roots of the following quadratic equations : x2 – 4x – 1 = 0
Discuss the nature of the roots of the following equation: `x^2 - (1)/(2)x - 4` = 0
Discuss the nature of the roots of the following equation: `5x^2 - 6sqrt(5)x + 9` = 0
Find the values of m so that the quadratic equation 3x2 – 5x – 2m = 0 has two distinct real roots.
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is:
A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is ______.
Find the roots of the quadratic equation by using the quadratic formula in the following:
2x2 – 3x – 5 = 0
