Advertisements
Advertisements
प्रश्न
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Advertisements
उत्तर
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Let `x/(x + 2) = y`
Then y2 – 7y + 12 = 0
`=>` y2 – 4y – 3y + 12 = 0
`=>` y(y – 4) – 3(y – 3) = 0
`=>` (y – 4)(y – 3) = 0
Then y = 4 and y = 3
`=> x/(x + 2) = 4` and `x/(x + 2) = 3`
`=> 4x + 8 = x` and `3x + 6 = x`
`=> x = (-8)/3` and `x = -3`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method: 9x2-25 = 0
Solve the following quadratic equations by factorization:
`m/nx^2+n/m=1-2x`
Solve the following quadratic equations by factorization:
`1/(x + 4) - 1/(x - 7) = 11/30, x ≠ 4, 7`
`4x^2+4sqrt3x+3=0`
Solve the following quadratic equations by factorization:
\[16x - \frac{10}{x} = 27\]
Solve the following equation : 5x2 - 11x + 2 = 0
Solve the following equation : x2 + 2ab = (2a + b)x
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
