Solve the equation p^4+40=14p^2 - The solutions are p=pm square and p=pm square

Question

Answer 1

To solve the equation

, we can rewrite it as

.Let

, then the equation becomes

.We can solve this quadratic equation by factoring or using the quadratic formula. The quadratic formula is given by:

In this case,

,

, and

. Plugging these values into the quadratic formula, we get:

So, the solutions for

are

and

.Since

, we can find the values of

by taking the square root of

:

and

Therefore, the solutions to the equation

are

and

.

Problemas