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 2x2 + 2x + 3 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2(5 + 2k)x + 3(7 + 10k) = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
Solve the following quadratic equation using formula method only :
x2 +10x- 8= 0
Discuss the nature of the roots of the following quadratic equations : `x^2 - (1)/(2)x + 4` = 0
If `(1)/(2)` is a root of the equation `x^2 + kx - (5)/(4) = 0`, then the value of k is ______.
The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:
(x2 + 1)2 – x2 = 0 has ______.
Find the value of 'p' for which the quadratic equation p(x – 4)(x – 2) + (x –1)2 = 0 has real and equal roots.
The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.
