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

You need to provide more information...

Find the number of real number solutions for

elizabethprasad2

13.03.2022

x = 1 + $\frac{\sqrt{32} }{2}$ i or 1 - $\frac{\sqrt{32} }{2}$ 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 = $\frac{2}{2}$ ± $\frac{\sqrt{-32} }{2}$

x = 1 ± $\frac{\sqrt{32} }{2} \sqrt{-1}$

x = 1 ± $\frac{\sqrt{32} }{2}$ i

Either x = 1 + $\frac{\sqrt{32} }{2}$ i or 1 - $\frac{\sqrt{32} }{2}$ i

Therefore no real number solutions to the equation

0,0(0 оценок)