Problem

1. What is the value of the expression below when $z^{\wedge} 2=-5$ ? Show the substitution.
operation
\[
z^{2}+3 z-7
\]

Answer

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Answer

\(\boxed{3z - 12}\) is the final answer.

Steps

Step 1 :Given the expression \(z^{2}+3 z-7\) and the condition \(z^{2}=-5\).

Step 2 :Substitute \(z^{2}=-5\) into the expression, we get \(-5+3z-7\).

Step 3 :Simplify the expression to get \(3z - 12\).

Step 4 :So, the value of the expression \(z^{2}+3 z-7\) when \(z^{2}=-5\) is \(3z - 12\).

Step 5 :\(\boxed{3z - 12}\) is the final answer.

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