Advertisements
Advertisements
प्रश्न
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
Advertisements
उत्तर
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
⇒ `sqrt(3)x^2 + 9x + 2x + 6sqrt(3)` = 0
⇒ `sqrt(3)x(x + 3sqrt(3)) + 2(x + 3sqrt(3))` = 0
⇒ `(x + 3sqrt3)(sqrt(3)x + 2)` = 0
x + 3`sqrt(3) = 0 or sqrt(3)x + 2` = 0
⇒ x = `-3sqrt(3) or x = -(2)/sqrt(3)` are two roots of the equation.
संबंधित प्रश्न
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
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx + 3 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 − 5x − k = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
kx2 + 6x + 1 = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
Find the roots of the quadratic equation by using the quadratic formula in the following:
5x2 + 13x + 8 = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x – 1)(x + 2) + 2 = 0
If one root of equation (p – 3) x2 + x + p = 0 is 2, the value of p is ______.
