Advertisements
Advertisements
Question
Solve equation using factorisation method:
`x = (3x + 1)/(4x)`
Advertisements
Solution
`x = (3x + 1)/(4x)`
⇒ 4x2 = 3x + 1
⇒ 4x2 – 3x – 1 = 0
⇒ 4x2 – 4x + x – 1 = 0
⇒ 4x(x – 1) + 1(x – 1) = 0
⇒ (x – 1)(4x + 1) = 0
Since x – 1 = 0 or 4x + 1 = 0
Then x = 1 or x = `(-1)/4`
APPEARS IN
RELATED QUESTIONS
Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`
Find the two consecutive natural numbers whose product is 20.
Solve x2 – 4x – 12 =0; when x ∈ I
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
x2 – (m + 2)x + (m + 5) = 0
Solve the following quadratic equations by factorization:
\[9x^2 - 6 b^2 x - \left(a^4 - b^4 \right) = 0\]
If 2 is a root of the quadratic equation \[3 x^2 + px - 8 = 0\] and the quadratic equation \[4 x^2 - 2px + k = 0\] has equal roots, find the value of k.
Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`
Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.
Solve the following equation by factorization
`(2)/(3)x^2 - (1)/(3)x` = 1
If the product of two consecutive even integers is 224, find the integers.
