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Precalculus
David Cohen
Edition 3
Chapter 1, Section 1.2
68. Explain why there are no real numbers that satisfy the equation | x^2 + 4x | = - 12.
Hint: Negative Sign
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No Real Numbers Satisfy Equation
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Re: No Real Numbers Satisfy Equation
by Eigenvalue » Fri Aug 14, 2026 6:00 pm
An absolute value always evaluates to a positive number.
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Re: No Real Numbers Satisfy Equation
by nycmath » Fri Aug 14, 2026 6:50 pm
Eigenvalue wrote:An absolute value always evaluates to a positive number.
Are you saying that, for example, | whatever lies in here | must = a positive number?
Re: No Real Numbers Satisfy Equation
by Eigenvalue » Fri Aug 14, 2026 8:36 pm
nycmath wrote:Eigenvalue wrote:An absolute value always evaluates to a positive number.
Are you saying that, for example, | whatever lies in here | must = a positive number?
Yes. Regardless of what is within the absolute value bars, the end result will be positive
- Eigenvalue
- Posts: 389
- Joined: Mon Aug 10, 2026 10:38 pm
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Re: No Real Numbers Satisfy Equation
by nycmath » Fri Aug 14, 2026 8:48 pm
Eigenvalue wrote:nycmath wrote:Eigenvalue wrote:An absolute value always evaluates to a positive number.
Are you saying that, for example, | whatever lies in here | must = a positive number?
Yes. Regardless of what is within the absolute value bars, the end result will be positive
This is good to know. Excellent reply.
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