Reissaskey
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

There are two ways of adding two square numbers to make 65. Write a different square number in each box. [ ] + [ ].

Sagot :

SlowZasob
I found those two possibilities, hopefully they're correct:

8² + 1² = 8 * 8 + 1 * 1 = 64 + 1 = 65
7² + 4² = 7 * 7 + 4 * 4 = 49 + 16 = 65

I hope it will help you :)

Answer:

The answers are:

[tex]1^2+8^2=65\\4^2+7^2=65[/tex]

Step-by-step explanation:

In order to determine the pairs of numbers, we have to know about the equation of this case.

Given:

x=first number

y=second number

[tex]x^2+y^2=65[/tex]

With this equation, we can find a lot of pairs of numbers which fulfill the equation. But, in case that we need just whole numbers, we only have to replace a whole number in any variable and determine the value of the other variable.

[tex]x=1\\1^2+y^2=65\\y^2=65-1\\y^2=64\\y=\sqrt{64}\\y=8\\1^2+8^2=65[/tex]

[tex]x=4\\4^2+y^2=65\\y^2=65-16\\y^2=49\\y=\sqrt{49}\\y=7\\4^2+7^2=65[/tex]

Finally, the two pairs of numbers are:

[tex]1^2+8^2=65\\4^2+7^2=65[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.