Question

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d. How are these equations different from those which are linear?​

Answer 1

There are certainly reasons to differ one equation from another.

Linear equations. Equations that have variables either $x$ or $y$ or both, are called linear equations. For example,

• $x-12=0$

• $7y+8=0$

• $10x+3y=14$

But $10+4=14$ is not an equation, rather a relation or expression.

Quadratic equations. Equations of the form $ax^{2}+bx+c=0$ where $a\neq 0$, are called quadratic equations. For example,

• $10x^{2}+7=0$

• $3x^{2}+4x+8=0$

Cubic equations. Clearly cubic equations are of the form $ax^{3}+bx^{2}+cx+d=0$ where $a\neq 0$, are called cubic equations. For example,

• $7x^{3}+5x-10=0$

• $x^{3}-x^{2}+x-1=0$