Advertisements
Advertisements
प्रश्न
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – 5x + 6 = 0; 2, – 3
Advertisements
उत्तर
x2 – 5x + 6 = 0; 2, – 3
When x = 2, then
(2)2 - 5 x 2 + 6
= 4 - 10 + 6
= 10 - 10
= 0
When x = -3, then
(-3)2 -5(-3) + 6
= 9 + 15 + 6
= 30 ≠ 0
∴ x = -3 is not its solution
∴ 2 is root of the equation by -3 is not a root.
APPEARS IN
संबंधित प्रश्न
For what value of k, (4 – k)x2 + (2k + 4)x + (8k + 1) = 0, is a perfect square.
Find the value(s) of k so that the quadratic equation 3x2 − 2kx + 12 = 0 has equal roots ?
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
Solve the following quadratic equation using formula method only
4 - 11 x = 3x2
`10x -(1)/x` = 3
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
`2sqrt(3)x^2 - 2sqrt(2)x - sqrt(3) = 0`
Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:
kx2 + 6x - 3k = 0, k ≠ 0
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 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 ______.
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
