The root of the bi quadratic equation x4+x3−7x2−x+6=0x4+x3−7x2−x+6=0 that does not exceed -2
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For example
Step-by-step explanation:
Given equation is x 4 −5x 3 +7x 2 −17x+11=0
Replacing x→x+2, we get
(x+2) 4 −5(x+2) 3 +7(x+2) 2 −17(x+2)+11=0
⇒(x+2) 2 (x+2) 2 −5(x+2) 3 +7(x 2 +4x+4)−17x−34+11=0
⇒x 4 +3x 3 +x 2 −17x−19=0
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