Solving Surd Equations (Leaving Cert Mathematics): Quizzes

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Solving Surd Equations
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What are surd equations?

Equations involving an algebraic root

What is the first step when solving a surd equation with one surd?

Isolate the surd

How do you eliminate the surd once it is isolated?

Square both sides

After squaring both sides of 3x+7=1+x\sqrt{3x+7}=1+x, what type of equation results?

A quadratic equation

Why must you check your answers when solving surd equations?

Not all roots may satisfy the equation

For 3x+7−x=1\sqrt{3x+7}-x=1, which value is the actual solution?

x=3x=3 only

Why does x=−2x=-2 not work for 3x+7−x=1\sqrt{3x+7}-x=1?

Substituting gives 3≠13 \ne 1

What happens if you mark both answers correct without testing?

You can lose marks

What is the isolated form of 3x+7−x=1\sqrt{3x+7}-x=1?

3x+7=1+x\sqrt{3x+7}=1+x

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