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2 years ago

Thomas solved the equation by completing the square. x2−10x+27=0 show work

Mathematics

2 answers:

lisabon 2012 [21]2 years ago

5 0

Answer:

Values of x will be [5 + √(-2)] and [5 - √(-2)]

Step-by-step explanation:

Thomas soled the equation (x² - 10x + 27) = 0 by completing the square.

x² - 2(5x) + 27 = 0

x² - 2(5x) + 25 - 25 + 27 = 0

(x - 5)² - 25 + 27 = 0

(x - 5)² + 2 = 0

(x - 5)² = - 2

(x - 5) = ±√(-2)

x = 5 ±√(-2)

Therefore, values of x will be [5 + √(-2)] and [5 - √(-2)].

Ber [7]2 years ago

4 0

(x-3)(x-7)=0
x=3,7
hope this helps!

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Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.

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The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

<u>Solving </u>

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

#learnwithBrainly

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