159k views
2 votes
Find the length of the missing side in simplest radical form.

Find the length of the missing side in simplest radical form.-example-1
User Speednet
by
7.6k points

2 Answers

0 votes

Answer: The best I could come up with is √65, −√65 or, 1, you pick!

(Decimal: 8.06225774…, −8.06225774…)

Explanation:

Rewrite the equation as

x^2 = 8^2 + 1^2.

One to any power is one.

x^2 = 8^2 + 1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

x = ± √8^2 + 1

x = ± √64 + 1

Add 64 and 1.

x = ± √65

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

x = √65

Next, use the negative value of the ± to find the second solution.

x = −√65

The complete solution is the result of both the positive and negative portions of the solution.

x = √65, −√65

The result can be shown in multiple forms.

Exact Form:

x = √65, −√65

Decimal Form:

x = 8.06225774..., −8.06225774…

User Colm Troy
by
8.2k points
3 votes

Answer:


  • x=√(65)

----------------------------

Given a right triangle with the missing hypotenuse.

Use Pythagorean to find the missing side:


  • x = √(8^2+1^2)=√(64+1) =√(65)
User Yasar
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories