Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
`3x - (8)/x `= 2
Advertisements
उत्तर
`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
संबंधित प्रश्न
Solve for x
:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3
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.
Find the value of p for which the quadratic equation
\[\left( p + 1 \right) x^2 - 6(p + 1)x + 3(p + 9) = 0, p \neq - 1\] has equal roots. Hence, find the roots of the equation.
Disclaimer: There is a misprinting in the given question. In the question 'q' is printed instead of 9.
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
Solve equation using factorisation method:
`2x^2 - 1/2x = 0`
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
Solve the following equation by factorization
`sqrt(3x + 4) = x`
The length (in cm) of the hypotenuse of a right-angled triangle exceeds the length of one side by 2 cm and exceeds twice the length of another side by 1 cm. Find the length of each side. Also, find the perimeter and the area of the triangle.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
