1-1/x^2=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$1 - \frac{1}{x^{2}} = 0$$
Because equation degree is equal to = -2 - contains the even number -2 in the numerator, then
the equation has two real roots.
Get the root -2-th degree of the equation sides:
We get:
$$\frac{1}{\sqrt{\frac{1}{x^{2}}}} = \frac{1}{\sqrt{1}}$$
$$\frac{1}{\sqrt{\frac{1}{x^{2}}}} = \left(-1\right) \frac{1}{\sqrt{1}}$$
or
$$x = 1$$
$$x = -1$$
We get the answer: x = 1
We get the answer: x = -1
or
$$x_{1} = -1$$
$$x_{2} = 1$$
The final answer:
$$x_{1} = -1$$
$$x_{2} = 1$$
Sum and product of roots
[src]
$$-1 + 1$$
$$0$$
$$-1$$
$$-1$$
$$x_{1} = -1$$
$$x_{2} = 1$$