Advertisements
Advertisements
Question
Solve the equation:`14/(x+3)-1=5/(x+1); xne-3,-1` , for x
Advertisements
Solution
`14/(x+3)-1=5/(x+1); xne-3,-1`
It can be rewritten as:
`14/(x+3)-5/(x+1)=1`
`(14(x+1)-5(x+3))/((x+1)(x+3))=1`
`(14x+14-5x-15)/(x^2+4x+3)=1`
`(9x-1)/(x^2+4x+3)=1`
On cross multiplying, we get:
9x−1= x2+4x+3
⇒x2−5x+4 = 0
⇒x2−4x−x+4 = 0
⇒x(x−4)− (x−4)=0
⇒(x−1) (x−4)=0
⇒x=1, 4
Thus, the solution of the given equation is 1 or 4.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Factorise : m2 + 5m + 6.
Solve the following quadratic equation by factorization: \[\frac{a}{x - b} + \frac{b}{x - a} = 2\]
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
Solve the following quadratic equation by factorisation:
9x2 - 3x - 2 = 0
Solve the following equation by factorization
`3x - (8)/x `= 2
