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Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with Square Roots 1.18 - Solution

arrow_back Return to Solving Quadratic Equations with Square Roots
a

In order to solve the equation, we must square root both sides. We must not forget that we also get a negative solution, since the product of two negative numbers is positive.

Both and are solutions to the equation.

b

Before we square root the equation, we need to isolate the -term on one side.

Both 5, and are solutions to the equation.

Extra

Extra

We can take the square root before adding or before dividing by However, the solution becomes a bit more complicated. Let's square root the equation before dividing by We must keep in mind that we must square root the entire LHS.

We still end up with the same result, even though the process was more complicated.


c

First we will square root both sides.

Both and are solutions to the equation. If we want to, we can simplify the right side further, so that we get a smaller number under the root sign.