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Solve the equation roots x^4-10x^4+26x^2-10x+1=0​

Answer»

Given EQUATION, x 4 −10x 3 +26x 2 −10x+1=0⟹(x 2 +x −2 )–10(x+x −1 )+26=0[DIVIDING byx 2 ]Substitute x+x −1 =y in the above equation⟹(y 2 −2)−10y+26=0⟹y 2 −10y+24=0⟹(y−6)(y−4)=0⟹x+x −1 =y=4and6⟹x 2 −6x+1=0andx 2 −4x+1=0⟹x=3±2 2 andx=2± Step-by-step EXPLANATION:plz mark me as brain list answerplz follow me



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