Advertisements
Advertisements
प्रश्न
Solve:
`sqrt(x/(x - 3)) + sqrt((x - 3)/x) = 5/2`
उत्तर
`sqrt(x/(x - 3)) + sqrt((x - 3)/x) = 5/2`
Let `sqrt(x/(x -3)) = y`
Then `y + 1/y = 5/2`
`=> (y^2 + 1)/y = 5/2`
`=>` 2y2 + 2 = 5y
`=>` 2y2 – 5y + 2 = 0
`=>` 2y2 – 4y – y + 2 = 0
`=>` 2y(y – 2) – 1(y – 2) = 0
`=>` (y – 2)(2y – 1) = 0
If y – 2 = 0 or 2y – 1 = 0
Then y = 2 or y = `1/2`
`=> sqrt(x/(x -3)) = 2` or `sqrt(x/(x -3)) = 1/2`
`=> x/(x - 3) = 4` or `x/(x - 3) = 1/4`
`=>` x = 4 or x = –1
APPEARS IN
संबंधित प्रश्न
Check whether the following is quadratic equation or not.
`x-3/x=x^2`
Check whether the following is quadratic equation or not.
3x2 - 5x + 9 = x2 - 7x + 3
The height of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, form the quadratic equation to find the base of the triangle.
Without solving, comment upon the nature of roots of the following equation:
x2 – ax – b2 = 0
Solve the following equation for x and give, in the following case, your answer correct to 2 decimal places:
`4x + 6/x + 13 = 0`
Solve the following equation for x and give, in the following case, your answer correct to 3 decimal places:
3x2 – 12x – 1 = 0
Which of the following are quadratic equation:
(2x - 3) (x + 5) = 2 - 3x
Solve the following equation by using formula :
256x2 – 32x + 1 = 0
Solve the following equation by using formula :
`(4)/(3) - 3 = (5)/(2x + 3), x ≠ 0, -(3)/(2)`
Which of the following is not a quadratic equation?
