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garik1379 [7]
2 years ago
5

What is a solutions of x^2-2x+10=0?​

Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

Answer:

x = 1± 3i

Step-by-step explanation:

x^2-2x+10=0

We can complete the square to solve by subtracting 10 from each side

x^2-2x+10-10=-10

x^2 -2x = -10

We need to add (2/2) ^2  to each side or 1

x^2 -2x+1 = -10 +1

x^2 -2x+1 = -9

The left side factors into (x- (2/2) ) ^2

(x-1) ^2 = -9

Take the square root of each side

sqrt((x-1) ^2 =± sqrt(-9)

x-1 = ±sqrt(-1) sqrt(3)

Remember the sqrt(-1) = i

x-1 = ± 3i

Add 1 to each side

x-1+1 = 1± 3i

x = 1± 3i

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Answers:

bio = 258

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Work Shown:

x = number of bio textbooks

y = number of sociology textbooks

x+y = 427 books sold total

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Apply substitution to get the following

x+y = 427

x+x-89 = 427 ... replace y with x-89

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2x = 427+89

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x = 516/2

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y = 169 sociology textbooks were sold

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Answer:

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You multiply these 2 values together.

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Answer:

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Step-by-step explanation:

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