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Question

Solve: 5x5+2x2=3x3+4x4

A
0,52
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B
1,92
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C
2,112
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D
None of these
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Solution

The correct option is C None of these
The value of 5x5+2x2=3x3+4x4 is

5(x2)+2(x5)(x5)(x2)=3(x4)+4(x3)(x3)(x4)

5x10+2x10(x5)(x2)=3x12+4x12(x3)(x4)

7x20(x5)(x2)=7x24(x3)(x4)

(7x20)(x3)(x4)=(7x24)(x5)(x2)

(7x220x21x+60)(x4)=(7x224x35x+120)(x2)

7x341x2+60x28x2+164x240=7x359x2+120x14x2+118x240

69x2+224x240=73x2+344x340

4x2120x=0

4x(x30)=0

Then, x=0 or x=30

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