Advertisements
Advertisements
प्रश्न
Solve the following equation:
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`
Advertisements
उत्तर
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2`
`(("x" - 1)^2 + (2"x" + 1)^2)/((2"x" + 1)("x" -1)) = 5/2`
`(("x"^2 - 2"x" + 2) + (4"x"^2 + 4"x" + 1))/(2"x"^2 - "x" - 1) = 5/2`
`(5"x"^2 + 2"x" + 2)/(2x^2 - "x" - 1) = 5/2`
10x2 + 4x + 4 = 10x2 - 5x - 5
- 9x - 9 = 0
x + 1 = 0
x = -1
APPEARS IN
संबंधित प्रश्न
Determine two consecutive multiples of 3, whose product is 270.
The sum of two natural number is 28 and their product is 192. Find the numbers.
Solve the following quadratic equation for x:
x2 − 4ax − b2 + 4a2 = 0
Determine whether the values given against the quadratic equation are the roots of the equation.
x2 + 4x – 5 = 0 , x = 1, –1
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
Solve the following quadratic equation by factorisation:
x2 + 3x - 18 = 0
Find two consecutive integers such that the sum of their squares is 61
A shopkeeper buys a certain number of books for Rs 960. If the cost per book was Rs 8 less, the number of books that could be bought for Rs 960 would be 4 more. Taking the original cost of each book to be Rs x, write an equation in x and solve it to find the original cost of each book.
The polynomial equation x(x + 1) + 8 = (x + 2) (x – 2) is:
