Write a short essay on how you solve your real-life problems in relation with solving radical equations
need it ASAP.
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Write a short essay on how you solve your real-life problems in relation with solving radical equations
need it ASAP.
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Answer:
Let’s start with a radical equation that you can solve in a few steps: .
Example
Problem
Solve.
Add 3 to both sides to isolate the variable term on the left side of the equation.
Collect like terms.
Square both sides to remove the radical, since . Make sure to square the 8 also! Then simplify.
Answer
x = 64 is the solution to .
To check your solution, you can substitute 64 in for x in the original equation. Does ? Yes—the square root of 64 is 8, and 8 − 3 = 5.
Notice how you combined like terms and then squared both sides of the equation in this problem. This is a standard method for removing a radical from an equation. It is important to isolate a radical on one side of the equation and simplify as much as possible before squaring. The fewer terms there are before squaring, the fewer additional terms will be generated by the process of squaring.
In the example above, only the variable x was underneath the radical. Sometimes you will need to solve an equation that contains multiple terms underneath a radical. Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Watch how the next two problems are solved.