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Chapter 6: Problem 9

Evaluate the algebraic expression for the given value or values of the variables. \(-x^{2}+4 ; \quad x=5\)

Short Answer

Expert verified
The result of evaluating the expression \(-x^{2}+4\) for \(x=5\) is \(-21\).

Step by step solution

01

Substitute the given value of x into the expression

Substitute \(x=5\) into the formula \(-x^{2}+4\). This results in \(-5^{2}+4.\)
02

Evaluate the squared operation

This step involves simplifying \(-5^{2}\) which equals \(-25\). So the expression now is \(-25+4\).
03

Perform the Addition

The final step is to perform the addition operation: \(-25+4\), which gives \(-21\) as the final answer.

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