Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
Advertisements
उत्तर
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
⇒ 2 - 5x + 2x2 = 0
⇒ 2x2 - 5x + 2 = 0 ...`{(∵ 2 xx 2 = 4),(4 = -4 xx (-1)),(-5 = -4 - 1):}}`
⇒ 2x2 - 4x - x + 2 = 0
⇒ 2x(x - 2) - 1(x - 2) = 0
⇒ (x - 2) (2x - 1) = 0
Either x - 2 = 0,
then x = 2
or
2x = 1 = 0,
then 2x = 1
⇒ x = `(1)/(2)`
∴ x = 2, `(1)/(2)`.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
abx2 + (b2 – ac)x – bc = 0
Find the consecutive even integers whose squares have the sum 340.
The sum of ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man's age at the time. Find their present ages.
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
`x^2+8x-2=0`
The sum of the squares of two consecutive positive integers is 365. Find the integers.
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
The length of verandah is 3m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x, breadth of the verandah write an equation in ‘x’ that represents the above statement.
(ii) Solve the equation obtained in above and hence find the dimension of verandah.
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
