How to Solve Math Word Problems Requiring Substitution
Write an equation that shows that x{\displaystyle x} equals the nested square root you have to solve., Square the equation., Substitute the infinite square roots with x{\displaystyle x}., Use the inverse operation to move the integer and...
Step-by-Step Guide
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Step 1: Write an equation that shows that x{\displaystyle x} equals the nested square root you have to solve.
The diagram shows you an example. , You should now have an integer and an infinite number of square roots that come after it. , This should be true, since x{\displaystyle x} itself represents the infinite square root.
You can prove this by looking at step
1. , By doing so, you are forming a quadratic equation. , The positive solution is the value of the nested square root.
The negative solution is considered to be extraneous. -
Step 2: Square the equation.
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Step 3: Substitute the infinite square roots with x{\displaystyle x}.
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Step 4: Use the inverse operation to move the integer and x{\displaystyle x} to the other side of the equation.
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Step 5: Solve the quadratic equation.
Detailed Guide
The diagram shows you an example. , You should now have an integer and an infinite number of square roots that come after it. , This should be true, since x{\displaystyle x} itself represents the infinite square root.
You can prove this by looking at step
1. , By doing so, you are forming a quadratic equation. , The positive solution is the value of the nested square root.
The negative solution is considered to be extraneous.
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