Question

Write the general form of each type of equation.

(i) Linear equation

(ii) Quadratic equation

Short answer

(i) The general form of linear equation is $ax+b$.

(ii) The general form of quadratic equation is $a{x}^2+bx+c$.

Step-by-step solution

Part i. Step 1. Define linear equation.

A linear equation is the equation in which each term is either a constant or the product of constant and a single variable.

Part i. Step 2. General form.

The general form of linear equation is,

$f\left(x\right)=ax+b\mathrm{...}\left(1\right)$

Part i. Step 3. Define the terms.

Equation (1) depict the general form of linear equation.

Here,

a,b are constant.

x is variables.

Thus, the general form of linear equation is $ax+b$.

Part ii. Step 1. Define quadratic equation.

A quadratic equation is the equation of second degree, it contains at least on term that is the product of squared variable and constant

Part ii. Step 2. General form.

The general form of quadratic equation is,

$f\left(x\right)=a{x}^2+bx+c\mathrm{...}\left(2\right)$

Part ii. Step 3. Define the terms.

Equation (2) depict the general form of quadratic equation.

Here,

a,b,c are constant.

x is variables.

Thus, the general form of quadratic equation is $a{x}^2+bx+c$.