Mathematics: How many distinct pairs of perfect squares differ by 35? (the pair $a, b$ is the same as the pair $b, a$

Step-by-step explanation:Use the distance equationinsert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)Hope that helps :)...

How many distinct pairs of perfect squares differ

Ответ:

dval8258

15.03.2022

35 has 4 divisors, hence two factor pairs: 1*35 and 5*7. Each corresponds to a set of perfect squares that differ by 35

One pair is ((35±1)/2)^2 = {17^2, 18^2} = {289, 324}
The other is ((7±5)/2)^2 = {1^2, 6^2} = {1, 36}

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Ответ:

fooodluver4002

06.03.2022

Mathematics

$4\sqrt{2}$

Step-by-step explanation:

Use the distance equation

$\sqrt{(x1-x2)^2+(y1-y2)^2}$

insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)

$\sqrt{(5-1)^2+((-2)-2)^2}$

$\sqrt{16+16}$

$4\sqrt{2}$

Hope that helps :)

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How many distinct pairs of perfect squares differ by 35? (the pair $a, b$ is the same as the pair $b, a$

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