Question

if A³ + B³ = 407,A+B= 11 then the values of A and B are

Answer 1

hope this will help you

Answer 2

Concept introduction:

An expression, often known as a formula, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Given:

Here it is given that

$A^3 + B^3 = 407\\A+B= 11$

To find:

We have to find the value of $A$ and $B$.

Solution:

According to the question,

$A^3 + B^3 = (A+B)(A^2-B^2-AB)\\= > 407=(11)(A^2-B^2-AB)\\= > 37=(A^2-B^2-AB)$

Now, $A=11-B$

$37=(11-B^2)+B^2-(11-B)B$

By, solving these equation we get the value of $B=7$ or $4$ either or $A=7$ or, $4$.

Final answer:

The final answer of the question is $7$ and $4$.

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