Advertisements
Advertisements
प्रश्न
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.
पर्याय
–1 and 7
1 and 7
–1 or 7
1 and – 7
Advertisements
उत्तर
The roots of the quadratic equation x2 – 6x – 7 = 0 are –1 or 7.
Explanation:
Given quadratic equation be,
x2 – 6x – 7 = 0
`\implies` x2 – 7x + x – 7 = 0
`\implies` x(x – 7) + 1(x – 7) = 0
`\implies` (x – 7)(x + 1) = 0
Either x – 7 = 0 or x + 1 = 0
`\implies` x = 7 or x = – 1
`\implies` x = 7 or – 1
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + kx + 1 = -4x2 - x
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx + 2 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 6x + 1 = 0
Without solving the following quadratic equation, find the value of ‘p’ for which the given equation has real and equal roots:
x² + (p – 3) x + p = 0
Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0
Every quadratic equation has at least two roots.
Find whether the following equation have real roots. If real roots exist, find them.
`x^2 + 5sqrt(5)x - 70 = 0`
Find the value(s) of 'a' for which the quadratic equation x2 – ax + 1 = 0 has real and equal roots.
The roots of quadratic equation x2 – 1 = 0 are ______.
If the discriminant \( D = 0 \), how are the roots of the quadratic equation described?
