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3 years ago

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

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

Answer:

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

Step-by-step 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!!!

Elanso [62]3 years ago

6 0

Idk hope this helps

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AURORKA [14]

Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

Find the distance between (-5,6)and (3,2).

skad [1K]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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Step-by-step explanation:

Step 1: Define

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Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

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[Distance] [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64+16}$
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3 years ago

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2 years ago