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Question

Solve : 3x3+x22=0 and 2x2+5x+5=0

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Solution

Given,

3x3+x22=0

Let, f(x)=3x3+x22

f(x)=9x2+2x

substituing differentiation to zero, we get,

9x2+2x=0

9x2=2x

x=29

Given,

2x2+5x+5=0

x1,2=5±5242522

solving the above equation, we get,

x1,2=54±i154

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