Advertisements
Advertisements
प्रश्न
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
`2sqrt(3)x^2 - 2sqrt(2)x - sqrt(3) = 0`
Advertisements
उत्तर
`2sqrt(3)x^2 - 2sqrt(2)x - sqrt(3)` = 0.
Here, `a = 2sqrt(3), b = -2sqrt(2) and c = -sqrt(3)`
D = b2 - 4ac
⇒ D - 8 - 4 x 2`sqrt(3) xx- sqrt(3)`
⇒ D = 8 + 24
= 32 > 0
The given equation has real roots.
संबंधित प्रश्न
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Find the value of the discriminant in the following quadratic equation:
2x2 - 5x + 3 = 0
Determine the nature of the roots of the following quadratic equation :
2x2 + 5x - 6 = 0
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
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
Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:
If α + β = 4 and α3 + β3 = 44, then α, β are the roots of the equation:
If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then:
If p, q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p2 – q2)x2 – (q2 – r2)x + (r2 – p2) = 0 are:
