Determine whether the two equations are equivalent. x=\sqrt{64},x=8

beljuA

beljuA

Answered question

2021-03-15

Determine whether the two equations are equivalent.
x=64,x=8

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2021-03-17Added 96 answers

Step 1
Given:
x=64,x=8
To determine:
The given two equations are equivalent or not.
Step 2
Consider,
x=64...(1)
x=8...(2)
We know that, square root of 64 is 8.
therefore, equation (1) becomes,
x=8...(3)
Two equation are equivalent when they have equal solution or root.
Here, the given equations have same solution.
Therefore, the given equations are equivalent.

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