Reissaskey
Answered

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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]

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