Question

x-3/x=2 factorisation ​

Answer 1

Answer:

$(x - 3)(x^{2} + 1) = 0$

Step-by-step explanation:

Given equation is:

$x - \frac{3}{x} = 2$

Multiply both sides by x.

$x^{2} - 3 = 2x$

Rewrite the equation in the form ax + by + c = 0.

$x^{2} - 2x - 3 = 0$

Split the co-efficient of the middle term - 2 into two numbers whose product is - 3 and whose sum is - 2.

We can write

- 2 = - 3 + 1

So, the equation now becomes:

$x^{2} - 3x + x - 3 = 0$

$x^{2} (x - 3) + 1(x - 3) = 0$

$(x - 3)(x^{2} + 1) = 0$

Answer 2

The correct answer is "x = -1" and "x = 3". Further explanation is given below.

Step-by-step explanation:

Given equation is:

x-$\frac{3}{x}$ = 0

On taking LCM, we get

⇒  $\frac{x^2-3}{x}$ = 2

⇒  x²-3 = 2x

⇒  x²-2x-3 = 0

⇒  x²-3x-x-3 = 0

⇒  x(x-3)+1(x-3) = 0

⇒  (x+1) (x-3) = 0

⇒  x+1 = 0

⇒  x = -1

Or,

⇒  x-3 = 0

⇒  x = 3

Learn more:

Factorise...

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