SOLUTION: Find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. 1. {{{x^4 + (x^2)*sqrt(2)

SOLUTION: Find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places. 1. {{{x^4 + (x^2)*sqrt(2) - 2 = 0}}} 2. {{{pi(1 + r)^2

Question 1207633: Find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places.

1.

2.
Answer by semsee45(1) (Show Source): You can put this solution on YOUR website!

Let , so becomes .

Solve for u using the quadratic formula, where , and :

Substitute back in :

As we cannot take the square root of a negative number, the only valid real solution is:

Solving for x gives:

Rearrange so that it is in the form :

Expand:

Solve for r using the quadratic formula, where , and :

Solve for r:

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