Advertisements
Advertisements
प्रश्न
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 5x + 7 = 0
Advertisements
उत्तर
x2 - 5x + 7 = 0
Here, a = 1, b = -5 and c = 7
D = b2 - 4ac
⇒ 25 - 4 x 1 x 7.
⇒ 25 - 28
= -3
Since D < 0 roots are imaginary.
संबंधित प्रश्न
Find the value of k for which the equation x2 + k(2x + k – 1) + 2 = 0 has real and equal roots.
Find the values of k for which the roots are real and equal in the following equation:
x2 – 4kx + k = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 2x + 1 = 0
If the roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then prove that 2b = a + c.
If p, q are real and p ≠ q, then show that the roots of the equation (p – q) x2 + 5(p + q) x – 2(p – q) = 0 are real and unequal.
Find the value of k for which equation 4x2 + 8x – k = 0 has real roots.
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
The equation 12x2 + 4kx + 3 = 0 has real and equal roots, if:
Find the roots of the quadratic equation by using the quadratic formula in the following:
–x2 + 7x – 10 = 0
