Is a quadratic equation a part of algebra?

Algebra is used to solve quadratic equations.

Is algebra used to solve simple equations too?

Arithmetrics is said to be used during algebra. What about square roots, exponents etc.

18 minutes ago, Brainee said:

Arithmetrics is said to be used during algebra.

Where is it said? What is a duration of algebra?

 

19 minutes ago, Brainee said:

What about square roots, exponents etc.

They are functions and operations.

23 hours ago, Genady said:

They are functions and operations

used in algebra?

4 minutes ago, Brainee said:

used in algebra?

Square roots, yes. Exponents, only in a limited way.

Look up the difference between algebraic and transcendental.

 

Algebraic Versus Transcendental Objects | Britannica

The quadratic equation is definitely something that would be part of a high school algebra class.

Elementary algebra, as others said or implied, is using the properties of numbers that are known to be satisfied for every number in order to, eg, solve equations among other things.

The word comes from an old Arabic term, al jabr, which means something like 'the restoration'.

There is a so-called abstract algebra, in which you generalise the idea to less familiar, but quite consistent, quantities and operations: rings, groups, and so on.

I hope that helps / complements what other have --correctly-- said.