Advertisements
Advertisements
प्रश्न
Solve the following equation: `(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`
Advertisements
उत्तर
`(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`
`(6 "x")/("x" - 4) + (6"x" - 15)/("x" - 3) = 25`
6x (x- 3)+ (6x- 15) (x- 4) = 25 (x- 4) (x-3)
6x2 -18x + 6x2 - 15x - 24x + 60 = 25 (x2 - 4x - 3x + 12)
12x2 - 57x + 60 = 25x2 - 175 x + 300
13x2 - 118 x + 240 = 0
`"x"^2 - 118/13 "x" + 240/13 = 0`
`"x"^2 - 6"x" - 40/13 "x" + 240/13 = 0`
`"x" ("x" - 6) - 40/13 ("x" - 6) = 0`
`("x" + 6)("x" - 40/13) = 0`
x = 6 , x = `40/13`
APPEARS IN
संबंधित प्रश्न
Find the consecutive numbers whose squares have the sum 85.
The sum of two natural numbers is 9 and the sum of their reciprocals is `1/2`. Find the numbers.
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
Solve the following equation: 3x2 + 25 x + 42 = 0
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Forty years hence, Mr. Pratap’s age will be the square of what it was 32 years ago. Find his present age.
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
