Question

What is the solution?
${a}^{2} + {b}^{2}$
​

Answer 1

Answer:

What is the solution to a2+b2=169?

There can be infinite solutions to this question, but if you are asking about integers, then there are four solutions to it.

Actually, it is a part of Pythagoras Threom solutions also known as Pythagoras Triplet. According to which addition of the square of two sides ( Height and Base) is equal to the square of the hypotenuse of right angles triangle.

By assuming 169 to be the square of the hypotenuse side, we can find out the other two sides as well.

Here, hypotenuse length will be 13 (square root of 169). Pythagoras Triplet having 13 as hypotenuse is ( 5, 12, 13), which clearly fits the given equation as( 5^2 + 12^2 = 13^2 ).

One of the solutions of (a, b) would be (5,12).

Other solutions are :

(-5, 12)

(-5, -12)

(5, -12)

Thank-you.

Edits are welcome

Answer 2

$\huge \mathfrak \red{ Solution }$

Explain : -

• solution, in chemistry, a homogenous mixture of two or more substances in relative amounts that can be varied continuously up to what is called the limit of solubility....