Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`x + 1/x = 2.5`
Advertisements
उत्तर
`x + 1/x = 2.5`
⇒ `(x^2 + 1)/x = 5/2`
⇒ 2x2 + 2 = 5x
⇒ 2x2 – 5x + 2 = 0
⇒ 2x(x – 2) – 1(x – 2) = 0
⇒ (x – 2)(2x – 1) = 0
Since x – 2 = 0 or 2x – 1 = 0
∴ x – 2 = 0
⇒ x = 2
∴ 2x – 1 = 0
⇒ 2x = 1
⇒ x = `1/2`
Then x = 2 or x = `1/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x+3)/(x+2)=(3x-7)/(2x-3)`
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Determine whether the values given against the quadratic equation are the roots of the equation.
x2 + 4x – 5 = 0 , x = 1, –1
Solve the following equation: a2b2x2 + b2x - a2x - 1 = 0
A two digit number is such that the product of its digit is 14. When 45 is added to the number, then the digit interchange their places. Find the number.
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 equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
