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Solve the following equation by first writing the equation in the form ax^2=c 15+c^2=96

User Toma Tomov
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2 Answers

1 vote

Final answer:

To solve the equation 15+c^2=96, isolate c^2 and rewrite the equation in the form ax^2 = c.

Step-by-step explanation:

To solve the equation 15+c^2=96, we first need to isolate c^2. Subtract 15 from both sides of the equation:

c^2 = 96 - 15

c^2 = 81

Now, rewrite the equation in the form ax^2 = c:

c = 81

So, the equation in the form ax^2 = c is c = 81.

User Gedweb
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7.8k points
7 votes

Answer:

The solution of the equation is:


c=\pm 9

Step-by-step explanation:

The quadratic equation here in terms of the variable c is given by:


15+c^2=96

Now on subtracting 15 from both the sides of the equation we have:


15+c^2-15=96-15\\\\15-15+c^2=81\\\\0+c^2=81\\\\c^2=81

Hence, on comparing the equation with:


ax^2=c

we have:


a=1\ and\ c=81

Now on taking the square root on both the sides of the equation we have:


c=\pm 9

User Pablote
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