ince the left-hand side is always positive (except if z is zero, when it is undefined), it can never equal a negative number.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.3: Equations With Fractional Coefficient
Problem 8OE
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explain how you can tell from the form of the equation 1/2z2=-3 that it has no solution.


 

 

Since z is in the denominator, there is no solution.

 

If an equation has a fraction, there is no solution.

 

Since we cannot isolate for z, there is no solution.

 

Since the left-hand side is always positive (except if z is zero, when it is undefined), it can never equal a negative number.

 

Since the left-hand side is sometimes negative and sometimes positive (except if z is zero, when it is undefined), it does not have a solution.
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