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What are the root of equation x2 -4x+29 in simplest a + b form

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3 votes

Answer:

Correct answer: (x - 2 - 5 i) (x - 2 + 5 i)

Explanation:

Given:

x² - 4 x + 29 = ( ) ( ) = ?

this equation has no solution in the set of real numbers

x² - 4 x + 29 = x² - 2 · x · 2 + 2² - 2² + 29 = x² - 2 · x · 2 + 4 - 4 + 29

x² - 4 x + 29 = (x - 2)² + 25 = (x - 2)² - ( - 25) = (x - 2)² - ( - 1 · 5²)

We know that the imaginary unit is the equal i = √- 1 ⇒ i² = - 1

x² - 4 x + 29 = (x - 2)² - ( 5 i)² this is the difference of the square

x² - 4 x + 29 = (x - 2 - 5 i) (x - 2 + 5 i)

these are conjugated complex numbers

God is with you!!!

User Bloudraak
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8.1k points
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idk hope this helps
User Starasia
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