How do I solve x^2-10

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embizze | High School Teacher | (Level 2) Educator Emeritus

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Solve `x^2-10=0` :

(To solve means to find the values that make the function zero -- to find the solutions, zeros, or roots. If you are given an equation, to solve means to find values for the variables so that the equation is true.)


`x^2=10`   Undo the subtraction by adding 10 to both sides

`x=+-sqrt(10)`  Undo the square by taking the square root of both sides. Note that there will be two answers -- if x<0 when it is squared the value will be positive.

The solutions are `x=sqrt(10),x=-sqrt(10)`