Question

What does the equation mean?

Answer 1

Hint: Equation in mathematics is an expression or a statement that comprises two algebraic expressions with the same value and are separated by an equal symbol in between them. It is a mathematically quantified form of a statement written otherwise. There are different types of equations possible. We use equations to equate two expressions.

Complete step-by-step solution:
According to the given question, we are asked to explain equations.
Equation can be said to be a mathematical statement or expression that consists of two algebraic statements and it also includes equal ‘=’ sign. The equality sign brings together two different expressions together based on certain conditions.
For example –
We can have an equation which looks like,
\[3x+5=20\]
Here, in the LHS we have, \[3x+5\] and in the RHS we have, \[20\]. These are two different expressions but these are brought together using the equality sign. But this is based on a condition that depends on the value of \[x\].
The value of \[x\] can be found as,
\[3x+5=20\]
\[\Rightarrow 3x=15\]
\[\Rightarrow x=5\]
That is, for \[x=5\], we have the two algebraic expressions equal.
Also, there are different types of equations, some of those are:
1) Linear equation – It is a single variable equation and has the form \[y=mx+c\]
2) Quadratic equation – It is a second order equation with one of the variables containing an exponent of 2. The general form is \[a{{x}^{2}}+bx+c=0\].
3) Exponential equation – It has the form \[{{x}^{a}}={{x}^{b}}\] \[\Rightarrow a=b\].

Note: There are a wide variety of equations available except for the ones listed above. The use of the ‘equal to’ sign is necessary to regard an expression as an equation. If we have symbols like > or < in place of =, then we can refer to those expressions as inequalities.