Answered

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Solve the following equation by first writing the equation in the form [tex]15 + c^2 = 96[/tex].

A. [tex] c = \pm 9 [/tex]
B. [tex] c = 9 [/tex]
C. [tex] c = \pm 9.79 [/tex]
D. [tex] c = 9.79 [/tex]

Sagot :

GinnyAnswer
Certainly! Let's solve the given equation step-by-step:

The given equation is:
[tex]\[ 15 + c^2 = 96 \][/tex]

1. Isolate \( c^2 \):
To isolate \( c^2 \), subtract 15 from both sides of the equation:
[tex]\[ 15 + c^2 - 15 = 96 - 15 \][/tex]
Simplifying this, we get:
[tex]\[ c^2 = 81 \][/tex]

2. Solve for \( c \):
To find the value of \( c \), take the square root of both sides of the equation:
[tex]\[ c = \pm \sqrt{81} \][/tex]
Since \( \sqrt{81} = 9 \), we have:
[tex]\[ c = \pm 9 \][/tex]

So, the solutions to the equation \( 15 + c^2 = 96 \) are \( c = 9 \) and \( c = -9 \), which are represented by:
[tex]\[ \varepsilon = \pm 9 \][/tex]

Thus, the correct answer is:
[tex]\[ \text{a. } \varepsilon = \pm 9 \][/tex]
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