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
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
Find the values of k for which the quadratic equation (3k + 1) x2 + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 - 2(k - 1)x + 1 = 0
Solve the following quadratic equation using formula method only :
x2 +10x- 8= 0
Solve the following quadratic equation using formula method only
`2"x"^2- 2 sqrt 6 + 3 = 0`
Solve for x : `9^(x + 2) -6.3^(x + 1) + 1 = 0`.
Find the discriminant of the following equations and hence find the nature of roots: 16x2 - 40x + 25 = 0
Choose the correct answer from the given four options :
If the equation 2x² – 5x + (k + 3) = 0 has equal roots then the value of k is
The quadratic equation whose roots are 1:
Let p be a prime number. The quadratic equation having its roots as factors of p is ______.
Find the value of k for which the roots of the quadratic equation 5x2 – 10x + k = 0 are real and equal.
