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What is the extraneous solution for the square root of x plus one equals x minus 1?
Wiki User
∙ 11y ago
√(x+1)=x-1
square both sides: x+1=x^2-2x+1
combine like terms and set equation equal to zero: 0=x^2-3x
factor: 0=x(x-3)
x=0 OR x-3=0
so, x=0 or x =3
{0,3}
So then I guess x=0 would be the extraneous solution.
maybe you meant it this way: [√x] +1 = x-1
subtract 1 from both sides: √x=x-2
square both sides: x=x^2-4x+4
combine like terms and set equation equal to zero: 0=x^2-5x+4
factor: 0=(x-4)(x-1)
so, x=4 or x=1
{1,4}
neither solution is extraneous
Wiki User
∙ 11y ago
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What is the extraneous solution to w the square root of 7w?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared".
How does square root work?
The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)
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(4.25, 0.25) is a solution.
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What is the extraneous solution to w the square root of 7w?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared".
How does square root work?
The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)The idea is to find a number which, when square, equals the given number. For example, asking for the square root of 100 means solving the equation x2 = 100. The solution, in this case, is 10. (Minus 10 is also a solution, but the term "square root" refers to the positive solution in this case.)
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What ordered pair is a solution of the equation y equals x minus 4?
(4.25, 0.25) is a solution.
If sin2a plus cos2a equals 1 does sin2a minus cos2a equals 1 also ... 2 means square and a means alpha?
No. But sin2a equals 1 minus cos2a ... and ... cos2a equals 1 minus sin2a
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