Find the number of real number solutions for the equation. x2 − 2x + 9 = 0

x = 1 + i   or     1 -i , therefore no real number solution.

Step-by-step explanation:

x² - 2x + 9 = 0

We are going to use formula method to find the solution to the equation below

x = -b ± √ b² - 4ac  / 2a

From the equation given;

a = 1   b=-2  and c = 9

We can now proceed to insert the values into the formula;

x = -b ± √ b² - 4ac  / 2a

x = 2  ± √ -2² - 4(1)(9)  /   2(1)

x = 2 ± √ 4 - 36  / 2

x  =  2 ±√ -32    / 2

x = ±

x = 1 ±

x = 1 ±i

Either  x = 1 + i   or     1 -i

Therefore no real number solutions to the equation

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