Advertisements
Advertisements
Question
Solve equation using factorisation method:
`6/x = 1 + x`
Solution
`6/x = 1 + x`
⇒ 6 = x + x2
⇒ x2 + x – 6 = 0
⇒ x2 + 3x – 2x – 6 = 0
⇒ x(x + 3) –2(x + 3) = 0
⇒ (x + 3)(x – 2) = 0
Since x + 3 = 0 or x – 2 = 0
Then x = –3 or x = 2
APPEARS IN
RELATED QUESTIONS
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.
`x^2-6x+3=0`
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
If the equation x2 − ax + 1 = 0 has two distinct roots, then
If one root of the equation 4x2 − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
