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Explain the difference between solving the equation


x = √(16 \:) and \: {x}^(2) = 16

User Otium
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1 Answer

2 votes

Answer:


x=√(16) will give answer x=4


x^2=16 will give answer x=4 and x= -4

Explanation:

To understand the concept of why this happens, let us try to analyse both the equations.

1.
x=√(16)

This equation actually tells that it has already been solved and we just need to tell the answer i.e. x=4. We can see the same by substituting values into x.

if x=4


4=√(16) which is a true condition.

if x=-4


-4=√(16) which is a false condition.

2.
x^2=16

This equation actually tells that it needs solving and we need to find the answer. If we substitute values into x in the equation we have:

if x=4


x^2=16


4^2=16 which is true.

if x=-4


x^2=16


(-4)^2=16 which is also true.

Hence we can see that :


x^2=16 can give two solutions i.e x=4 and x=-4 and


x=√(16) will give answer x=4


User Anthony Williams
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