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-20x^4-10xwith explanation pls .... |
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Answer» Step-by-step explanation: Given equation, X 4 −10x 2 −20x−16=0 Consider F(x)=x 4 −10x 2 −20x−16 By inspection we can EASILY see that f(−2)=0. THEREFORE, (x+2) is a factor of the given equation ∴f(x)=(x+2)⋅g(x)⟹g(x)=x 3 −2x 2 −6x−8 We need to find root of g(x)=0 ⟹x 3 –2x 2 −6x−8=0⟹x 3 +2x 2 +2x−4x 2 −8x−8=0⟹(x−4)(x 2 +2x+2)=0 Solving the quadratic we have, x=−1±i ∴ the roots of the given equation are x=−2,4,−1±i |
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