William is thinking of two numbers. Both numbers are square
numbers greater than 1. The sum of the numbers is 100. Write down

William is thinking of two numbers. Both numbers are square
numbers greater than 1. The sum of the numbers is 100. Write down
the two numbers.​

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  1. Answer:

    Whole number squares 0^2+10^2=100 and 6^2+8^2=100 and Integer squares (+/-)6^2+(+/-)8^2=100

    PREMISES

    y=two squares whose sum is 100

    CALCULATIONS

    A square (number) is a number of the form r×r commonly denoted as r^2

    y=two squares whose sum is 100

    y=a^2+b^2=100

    Squares of whole numbers 0-10 where the sum of two squares <=100

    0^2,1^2, 2^2, 3^2,4^2,5^2,6^2,7^2,8^2,9^2,10^2:

    (1) 0^2+10^2=100

    (2) 6^2+8^2=100

    Squares of integers 0-10 where the sum of two squares <=100

    0^2,(+/-)1^2,(+/-)2^2,(+/-)3^2,(+/-)4^2,(+/-)5^2,(+/-)6^2,(+/-)7^2,(+/-)8^2,(+/-)9^2,(+/-)10^2:

    (1) 0^2+(+/-)10^2=100

    (2) (+/-)6^2+(+/-)8^2

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