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Consider this expression:
[tex]\[ \left|m^2 - 7\right| + n^2 \][/tex]

When [tex]\( m = -2 \)[/tex] and [tex]\( n = 5 \)[/tex], the value of the expression is [tex]\(\square\)[/tex].

Sagot :

GinnyAnswer
To find the value of the expression [tex]\(\left|m^2 - 7\right| + n^2\)[/tex] for [tex]\(m = -2\)[/tex] and [tex]\(n = 5\)[/tex], follow these steps:

1. First, substitute [tex]\(m = -2\)[/tex] into [tex]\(m^2\)[/tex]:
[tex]\[ m^2 = (-2)^2 = 4 \][/tex]

2. Next, substitute [tex]\(m^2 = 4\)[/tex] into [tex]\(\left|m^2 - 7\right|\)[/tex]:
[tex]\[ \left|4 - 7\right| = \left|-3\right| = 3 \][/tex]

3. Then, substitute [tex]\(n = 5\)[/tex] into [tex]\(n^2\)[/tex]:
[tex]\[ n^2 = 5^2 = 25 \][/tex]

4. Finally, add the two results from the previous steps:
[tex]\[ 3 + 25 = 28 \][/tex]

So, when [tex]\(m = -2\)[/tex] and [tex]\(n = 5\)[/tex], the value of the expression is [tex]\( \boxed{28} \)[/tex].
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