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If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value...
4 months ago
Q:
If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value of c?
Accepted Solution
A:
Answer:c = 2Step-by-step explanation:Substitute x = 1 + i into the equation(1 + i)² - 2(1 + i) + c = 0 ← distribute left side1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left- 2 + c = 0 ( add 2 to both sides )c = 2