Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
Advertisements
उत्तर
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
⇒ `((x - 3)^2 + (x + 3)^2)/((x + 3) (x - 3)) = 5/2`
⇒ `(x^2 - 6x + 9 + x^2 + 6x + 9)/(x^2 - 9) = 5/2`
⇒ 2(2x2 + 18) = 5(x2 – 9)
⇒ 4x2 + 36 = 5x2 – 45
⇒ x2 – 81 = 0
⇒ x2 – 92 = 0
⇒ (x + 9)(x – 9) = 0
If x + 9 = 0 or x – 9 = 0
Then x = – 9 or x = 9
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
6x2 - x - 2 = 0
Solve the following quadratic equations by factorization:
`1/x-1/(x-2)=3` , x ≠ 0, 2
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
Two numbers differ by 3 and their product is 504. Find the number
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. 1 less, the cost would remain unchanged. How long is the piece?
The difference of two natural numbers is 5 and the difference of heir reciprocals is `5/14`Find the numbers
Solve the following quadratic equations by factorization: \[\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = 3\frac{3}{4}; x \neq 5, - 5\]
The sum of a number and its reciprocal is `2 9/40`. Find the number.
Solve the following equation by factorization
6p2+ 11p – 10 = 0
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
