Question

How do you write equations $?$

Answer 1

Writing general equations:

In algebra, we dealt with various types of equations such as linear equations, quadratic equations, cubic equations, rational equations and many more.

We can write general equations as follows:

Linear equations: $\mathit{a}\mathit{x}\mathbf{}\mathbf{+}\mathbf{}\mathit{b}\mathbf{}\mathbf{=}\mathbf{}\mathit{c}$

Quadratic equations: $\mathit{a}{\mathit{x}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathit{b}\mathit{x}\mathbf{}\mathbf{+}\mathbf{}\mathit{c}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}$

Cubic equations: $\mathit{a}{\mathit{x}}^{\mathbf{3}}\mathbf{}\mathbf{+}\mathbf{}\mathit{b}{\mathit{x}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathit{c}\mathit{x}\mathbf{}\mathbf{+}\mathbf{}\mathit{d}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}$

Rational equations: $\frac{\mathbf{P}\mathbf{\left(}\mathbf{x}\mathbf{\right)}}{\mathbf{Q}\mathbf{\left(}\mathbf{x}\mathbf{\right)}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}$

Here, $a$ and $Q\left(x\right)$ are not equal to zero.

Hence, we can write the equations as mentioned above.