Question

What are the solutions to the equation? 5x3=405x enter your answers in the boxes. X = or x = or x =.

Answer 1

The solutions to the equation 5x³=405x are x=0, x=9, x=-9.

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign = The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an equation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions related with an equals sign.

An equation is similar to a scale into which weights are placed. When equal weights of material  are placed in the two pans, the scale is balanced and the weights are said to be equal.

Solving an equation with variables entails determining which variables values make the equality true.

Given, 5x³=405x

5x³-405x=0

5x(x²-81)=0

5x=0 and x²-81=0

If 5x=0 then,

x=0

If x²-81=0

x²=81

x=±9

Therefore, x=0, x=±9

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