Advertisements
Advertisements
प्रश्न
Determine the nature of the roots for the following quadratic equation
9a2b2x2 – 24abcdx + 16c2d2 = 0, a ≠ 0, b ≠ 0
उत्तर
Here a = 9a2b2; b = – 24 abed, c = 16c2d2
∆ = b2 – 4ac
= (– 24abcd)2 – 4(9a2b2) (16c2d2)
= 576a2b2c2d2 – 576a2b2c2d2
∆ = 0
So the equation will have real and equal roots.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method
4x2 – 7x – 2 = 0
Solve the following quadratic equation by factorization method
`sqrt(2)x^2 + 7x + 5sqrt(2)` = 0
Solve the following quadratic equation by factorization method
`2x^2 - x + 1/8` = 0
Solve the following quadratic equation by formula method
`sqrt(2)"f"^2 - 6"f" + 3sqrt(2)` = 0
Determine the nature of the roots for the following quadratic equation
`sqrt(2)"t"^2 - 3"t" + 3sqrt(2)` = 0
Find the value of ‘k’ to identify the roots of the following equation is real and equal
(5k – 6)x2 + 2kx + 1 = 0
If the roots of the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are real and equal prove that either a = 0 (or) a3 + b3 + c3 = 3abc
If α, β are the roots of 7x2 + ax + 2 = 0 and if β – α = `(-13)/7` Find the values of a
If one root of the equation 2y2 – ay + 64 = 0 is twice the other then find the values of a
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is