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
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 that value of p for which the quadratic equation (p + 1)x2 − 6(p + 1)x + 3(p + 9) = 0, p ≠ − 1 has equal roots. Hence find the roots of the equation.
Without solving, examine the nature of roots of the equation 2x2 + 2x + 3 = 0
Without solving, examine the nature of roots of the equation x2 – 5x – 2 = 0
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:
(k + 1)x2 + 2(k + 3)x + (k + 8) = 0
Determine the nature of the roots of the following quadratic equation :
x2 -4x + 4=0
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
Choose the correct answer from the given four options :
If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are
The quadratic equation `2x^2 - sqrt(5)x + 1 = 0` has ______.