Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following equation: `sqrt(3)x^2 - 2x - sqrt(3)` = 0
Advertisements
उत्तर
`sqrt(3)x^2 - 2x - sqrt(3)` = 0
Here `a = sqrt(3), b = -2, c = -sqrt(3)`
∴ D = b2 - 4ac
= `(-2)^2 - 4 xx sqrt(3) xx (-sqrt(3))`
= 4 + 12
= 16
∵ D > 0
∴ Roots are real and distinct.
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 4x2 – 4x + 1 = 0
Find the values of k for the following quadratic equation, so that they have two equal roots.
kx (x - 2) + 6 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(2k + 1)x2 + 2(k + 3)x + (k + 5) = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx + 2 = 0
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
The quadratic equation `2x^2 - sqrt(5)x + 1 = 0` has ______.
The quadratic equation whose one rational root is `3 + sqrt2` is
The roots of the equation 7x2 + x – 1 = 0 are:
Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.
The roots of the quadratic equation px2 – qx + r = 0 are real and equal if ______.
