Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Advertisements
उत्तर
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
⇒ `(4(x + 3) - 1(x + 2))/((x + 2)(x + 3)) = 4/(2x + 1)`
⇒ `(4x + 12 - x - 2)/(x^2 + 2x + 3x + 6) = 4/(2x + 1)`
⇒ `(3x + 10)/(x^2 + 5x + 6) = 4/(2x + 1)`
⇒ (3x + 10)(2x + 1) = 4(x2 + 5x + 6)
⇒ 6x2 + 3x + 20x + 10 = 4x2 + 20x + 24
⇒ 2x2 + 3x – 14 = 0
⇒ 2x2 + 7x – 4x – 14 = 0
⇒ 2x2 + 7x – 4x – 14 = 0
⇒ x(2x + 7) – 2(2x + 7) = 0
⇒ (2x + 7)(x – 2) = 0
If 2x + 7 = 0 or x – 2 = 0
Then x = `(-7)/2` or x = 2
APPEARS IN
संबंधित प्रश्न
Solve for x : `(x+1)/(x-1)+(x-1)/(x+2)=4-(2x+3)/(x-2);x!=1,-2,2`
Find the consecutive numbers whose squares have the sum 85.
An aeroplane left 50 minutes later than its scheduled time, and in order to reach the destination, 1250 km away, in time, it had to increase its speed by 250 km/hr from its usual speed. Find its usual speed.
A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
Solve each of the following equations by factorization:
x(x – 5) = 24
Find the values of k for which the roots are real and equal in each of the following equation:\[px(x - 3) + 9 = 0\]
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
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.
The product of two integers is –18; the integers are ______.
