Question

Write the equation
equation in standard form
X^2-1/X+1=2​

Answer 1

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

`x = (-(-2) \pm √((-2)^2 - 4*1*(-3)) )/(2*1) = (2 \pm 4)/(2)`

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1