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 value of k for which the following equation has equal roots.
x2 + 4kx + (k2 – k + 2) = 0
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find the values of k for which the roots are real and equal in each of the following equation:
(k + 1)x2 - 2(3k + 1)x + 8k + 1 = 0
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 6x + 1 = 0
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 5x + 5 = 0
Find the nature of the roots of the following quadratic equations: `x^2 - (1)/(2)x - (1)/(2)` = 0
The equation 2x2 + kx + 3 = 0 has two equal roots, then the value of k is:
Find the sum of the roots of the equation x2 – 8x + 2 = 0
The roots of equation (q – r)x2 + (r – p)x + (p – q) = 0 are equal.
Prove that 2q = p + r; i.e., p, q, and r are in A.P.
