SOLUTION: Given that x = 1 - 2i is a root of {{{ x^4 - 8x + 23x^2 - 42x +30 }}}, the real solutions to this equation are x = 3 +- sqrt b what is b?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that x = 1 - 2i is a root of {{{ x^4 - 8x + 23x^2 - 42x +30 }}}, the real solutions to this equation are x = 3 +- sqrt b what is b?      Log On


   

Question 973792: Given that x = 1 - 2i is a root of +x%5E4+-+8x+%2B+23x%5E2+-+42x+%2B30+, the real solutions to this equation are x = 3 +- sqrt b what is b?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given that x = 1 - 2i is a root of +x%5E4+-+8x+%2B+23x%5E2+-+42x+%2B30+, the real solutions to this equation are x = 3 +- sqrt b what is b?
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If x = 1 - 2i is a root, then 1 + 2i is also a root.
(x^2 - 2x + 5) is the product of the 2 complex roots.
Divide the quartic by that --> a quadratic.
Solve the quadratic.