Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Advertisements
उत्तर
`2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Here `a = 2sqrt(3), b = -5, c = sqrt(3)`
∴ D = b2 - 4ac
= `(-5)^2 - 4 xx 2sqrt(3) xx sqrt(3)`
= 25 - 24
= 1
∵ D > 0
∴ Roots are real and distinct.
APPEARS IN
संबंधित प्रश्न
Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.
Show that the equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
`10x -(1)/x` = 3
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0
Given that one root of the quadratic equation ax2 + bx + c = 0 is three times the other, show that 3b2 – 16ac.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0
The quadratic equation whose one rational root is `3 + sqrt2` is
The roots of the quadratic equation `2"x"^2 - 2sqrt2"x" + 1 = 0` are:
If the quadratic equation kx2 + kx + 1 = 0 has real and distinct roots, the value of k is ______.
