First slide
Theory of expressions
Question

If αand β are two roots of the equation x264x+256=0 Then, value of α3β51/8+β3α51/8 is 

Easy
Solution

Given quadratic equation x264x+256=0 having roots αand β , so

α+β=64 and αβ=256

now,

α3β51/8+β3α51/8=α+βαβ58=6425=6432=2

                                    

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