Advertisements
Advertisements
Question
Solve the following equation by factorization
`3x - (8)/x `= 2
Advertisements
Solution
`3x - (8)/x `= 2
`(3x^2 - 8)/x` = 2
⇒ 3x2 - 8 = 2x
⇒ 3x2 - 2x - 8 = 0
⇒ 3x2 - 6x + 4x - 8 = 0
⇒ 3x(x - 2) + 4(x - 2) = 0
⇒ (x - 2)(3x + 4) = 0
Either x - 2 = 0,
then x = 2
or
3x + 4 = 0,
then 3x = -4
⇒ x = `(-4)/(3)`
Hence x = 2, `(-4)/(3)`.
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.
Solve the following quadratic equations by factorization:
`(x+1)/(x-1)-(x-1)/(x+1)=5/6` , x ≠ 1, x ≠ -1
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
The product of Shikha's age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
Find the value of k for which the following equations have real and equal roots:
\[x^2 + k\left( 2x + k - 1 \right) + 2 = 0\]
Solve the following equation: `(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`
In each of the following, determine whether the given values are solution of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3; x = 2, x = 3
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
