Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
9a2b2x2 - 48abc + 64c2d2 = 0
Here, D = b2 - 4ac
⇒ (-48abcd)2 - 4 x 9a2b2 x 64c2d2
2304a2b2c2d2 - 2304a2b2c2d2 = 0
D = 0
Roots are real and equal.
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 2x2 – 7x + 3 = 0
Determine the nature of the roots of the following quadratic equation:
2(a2 + b2)x2 + 2(a + b)x + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
kx(x - 2) + 6 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 + kx + 3 = 0
Solve for x :
x2 + 5x − (a2 + a − 6) = 0
Solve the following quadratic equation using formula method only :
`2x + 5 sqrt 3x +6= 0 `
Solve the following quadratic equation using formula method only
4x2 + 12x + 9 = 0
Solve x2/3 + x1/3 - 2 = 0.
If the difference of the roots of the equation x2 – bx + c = 0 is 1, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`sqrt(2)x^2 - 3/sqrt(2)x + 1/sqrt(2) = 0`
