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aalyn [17]
3 years ago
10

The Carolina Castaways and Raleigh Rockets scored a total of 96 points. The Rockets scored one third as many points as the Casta

ways.
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0
The castaways scored 32 pts
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value of x is x=2, x=-2 and x=0

Step-by-step explanation:

Let a = x^2+4. Use a to find the solution for the following equation:

(x^2+4)^2+32=12x^2+48

Solving

(x^2+4)^2+32=12x^2+48

Taking 12 common from LHS

(x^2+4)^2+32=12(x^2+4)

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(a)^2+32=12(a)\\a^2+32=12a\\a^2-12a+32=0

Factoring the equation

a^2-8a-4a+32=0\\a(a-8)-4(a-8)=0\\(a-8)(a-4)=0\\a-8=0\,\,and\,\,a-4=0\\a=8\,\,and\,\,a=4\\

Putting value of a i.e x^2+4

x^2+4=8\,\,and\,\,x^2+4=4\\x^2=8-4\,\,and\,\,x^2=4-4\\x^2=4\,\,and\,\,x^2=0\\Taking\,\,square\,\,root\,\,at:\\x=\pm 2\,\,and\,\,x=0\\

So, value of x is x=2, x=-2 and x=0

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

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