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Formatting guide

Topics

Quadratic Equations

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Quadratic equations with one unknown look like this:

ax2+bx+c=0

Common issues:

Don’t forget a variable! A variable can be any letter of the Latin alphabet, such as y, w, t or R.

For example
5W2+6W+4=0

Don’t do this:
112+25-24

Examples

Linear equations with one unknown

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A linear equation with one unknown is an equation in a form like this:
ax+b=0

Common issues:

Don’t forget a variable! A variable can be any letter of the Latin alphabet, such as y, w, t or R.

For example
9x-9=15+55x

Don’t do this:
-3* - 21/3

Examples

Linear inequalities with one unknown

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A linear inequality with one unknown is an equation in a form like this:
3.5x+5<=40

Common issues:

The signs between the sides you can have are: “<”, “>”, “<=”, or “>=”. Also, “=<” and “>=” would work.

“,=”, “-=”, “=,” etc. will not work

Examples

Equations with Multiple Unknowns

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Sometimes, you have more than one unknown in an equation.

For example:
-9x+2y=18; x+y = 9

Remember, if you have two variables, you need at least two equations to solve the set.

Do this:
-9x+2y=18; x+y = 9

Don’t do this:
-9x+2y=18

Examples

Least common multiple (LCM)

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The least common multiple is the smallest number that is divisible by all other numbers in a sequence.

For example, if you have a sequence 1, 2, 3, the Least Common Multiple is 6.

lcm(1, 2, 3) = 6


Common issues:

Don’t forget to write “lcm,” “least common multiple” or “LCM.”


Examples

Scientific notation

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Scientific notation, also known as Standard Notation, brings very large or small numbers into a form with a number between 1 and 10 multiplied by a power of ten.


For example, 58900000 becomes 5.89x10^5.


Common issues:

The output always has a decimal point, even if it’s 0.

So, for example, 9000 will be written as 9.0x10^3


Examples

Circles

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Description

In geometry, a circle is a shape made up of all the points on a plane at a fixed distance around a given point (the center). The equation for a circle is (x-h)2+(y-k)2=r2, in which h and k represent the circle's center and r represents the circle's radius, the distance from the circle's center to any point on its perimeter.

Format

Try inputting the coordinates of a circle's center followed by its radius or diameter in the format "center (a, b) radius (c)" in which in which (a,b). You can also input the equation of a circle written in standard form.

Examples

Notation

Capitalization and spaces do not matter. For example, this is the same equation:

3X+2Y=1 and 3 x + 2 y = 1


Multiplication can be represented as “*” or “•”. Avoid using "x" as a multiplication sign


You can input two or more equations using “;” or “,” as a line break. For example, x2+y2=1; x-y=3


Make sure your “equal” sign is in the correct position. For example, 5+x,= 3 or (x=4)/36 will not work.


You may or may not enter “=0”. Regardless, the results should be the same. For example, 5x2-9x-2 Is the same as 5x2-9x-2 = 0