SOLUTION: Find the side length of a square with an area of 196 ft2. Use a quadratic equation

Question 734058: Find the side length of a square with an area of 196 ft2. Use a quadratic equation

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length of the side of the square (in feet)
--> <-->
That is a quadratic equation.

If they have a real solution, quadratic equations can always be solved by using the quadratic formula.

If they have a real solution, quadratic equations can also always be solved by expressing them as . To get to that expression sometimes you have to "complete the square."

Some quadratic equations can be solved by factoring.

<--> can be solved using all the strategies a
listed above.
For example, knowing that we figure that also
so the solutions to are
and
We did not even have to "complete the square."
Factoring is also easy if we know that because we jnow that a difference of squares is a special product of the form
so
and we can re-write as

and if thatr product is zero, one of the factors must be zero, so
either <-->
or <-->
The quadratic formula applied to an equation of the form says that the solutions (if they exist) are given by

In the case of , , and so
--> -->
which means or
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