Answered

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Noah and Lin are each trying to solve the equation x^2-6x+10=0.They know that the solutions to x^2=-1 are i and -i but they are not sure how to use this information to solve for x in their equation.Lin knows 36-40 is a negative number and isn’t sure what to do next. Show how Lin can write her solution using i.

Lin's work:

Sagot :

Answer:

x=3+i or x=3-i

Step-by-step explanation:

x²-6x+10=0

(x²-6x+9) + 1 = 0

(x-3)² + 1 = 0

(x-3)² = -1

x-3 = ± √-1 = ± i

x = 3 + i    or x = 3 - i

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