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Answer to Question #78504 in Algebra for Trupti Sinha
Question #78504
Solve
x^4-8x^3+21x^2-20x+5=0
given that the sum of two of its roots is 4 .
x^4-8x^3+21x^2-20x+5=0
given that the sum of two of its roots is 4 .
Expert's answer
x^4-8x^3+21x^2-20x+5=0
(x^2-5x+5)(x^2-3x+1)=0
x^2 -5x + 5 = 0
x = 3/2 +- sqrt(5)/2
x^2-3x+1 = 0
x = 5/2 +- sqrt(5)/2
(x^2-5x+5)(x^2-3x+1)=0
x^2 -5x + 5 = 0
x = 3/2 +- sqrt(5)/2
x^2-3x+1 = 0
x = 5/2 +- sqrt(5)/2
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