Advertisements
Advertisements
प्रश्न
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – x + 1 = 0; 1, – 1
Advertisements
उत्तर
x2 – x + 1 = 0; 1, – 1
Where x = 1, then
(1)2 – 1 + 1 = 1 – 1 + 1 = 1 ≠ 0
∴ x = 1 does not satisfy it
and (-1)2 - (-1) + 1 = 0
1 + 1 + 1 ⇒ 3 ≠ 0
∴ x = -1, does not satisfy it
∴ x = 1, -1 are not roots of the equation.
APPEARS IN
संबंधित प्रश्न
Find the values of k for which the roots are real and equal in each of the following equation:
9x2 - 24x + k = 0
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 - 3kx + 1 = 0
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.
If a = 1, b = 8 and c = 15, then find the value of `"b"^2 - 4"ac"`
`10x -(1)/x` = 3
If a = 1, b = 4, c = – 5, then find the value of b2 – 4ac
Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is ______.
If the coefficient of x2 and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.
Solve for x: 9x2 – 6px + (p2 – q2) = 0
Let α and β be the roots of the equation, 5x2 + 6x – 2 = 0. If Sn = αn + βn, n = 1, 2, 3, ....., then ______.
