Why is 2 the only number that is always 4 when added multiplied or squared

Mathematics

1 answer:

Alika [10]3 years ago

7 0

Answer:

There are infinite numbers that added or multiplied will give the same answer. But, if the require this two numbers to be the same, then we need to solve the following equation to see what we found out:

x + y = x * y

Given that we want the numbers to be equal, then y=x.

x + x = x * x

2x = x^2

x^2 - 2x = 0

x(x-2) = 0

We find that NOT only x=2 meets this requirement but also x=0.

Therefore, there is another number that when added, multiplied or squared gives the same result. The other number is zero!

We can prove it:

0 × 0 = 0

0 + 0 = 0

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For example $5x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

<h3>What are coefficients?</h3>

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For example, in $10x^2$ we have 10 as coefficient of $x^2$

<h3>When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?</h3>

Suppose we have $5x^2 + 6y$

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

If we have, suppose,

$4x + 5x^2 + 2x$ , then we see that 4x and 2x are like terms, their coefficient can be added and thus, the simplified form would be