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Solving Equations That Have Radical Terms

Part 1

In this video, we are going to solve simple equations containing radical expression.

In \sqrt{x}=7, first square both sides of the equation

If there are other values in the equation, then first isolate the \sqrt{x} before squaring both sides of the equation.

Part 2

In the second part, we are going to solve more complex equations containing radical expression.

For example:

Square both sides of the equation

Use FOIL to complete the squaring if necessary

Combine like terms

Since it’s a quadratic equation, use the quadratic equation

Substitute the variables

So we have:
x=\frac{11+\sqrt{21}}{2} and x=\frac{11-\sqrt{21}}{2}

In the end, x is approximately 7.8 or 3.2

If it was -7.8 instead of 7.8, then it cannot be a negative answer since the square root of a negative number is imaginary. In this case, the final answer would just be 3.2

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