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vlabodo [156]
3 years ago
8

Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

x = 4 + sqrt(73) or x = 4 - sqrt(73)

Step-by-step explanation by completing the square:

Solve for x:

(x - 12) (x + 4) = 9

Expand out terms of the left hand side:

x^2 - 8 x - 48 = 9

Add 48 to both sides:

x^2 - 8 x = 57

Add 16 to both sides:

x^2 - 8 x + 16 = 73

Write the left hand side as a square:

(x - 4)^2 = 73

Take the square root of both sides:

x - 4 = sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

x = 4 + sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

Answer:  x = 4 + sqrt(73) or x = 4 - sqrt(73)

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4-(2x-3)=3 whats the answer
Oxana [17]

Hello there.

Explanation:

↓↓↓↓↓↓↓↓↓↓

4-(2x-3)=3

First, subtract by 4 from both sides.

4-(2x-3)-4=3-4

Second, simplify.

-(2x-3)=-1

Third, divide by -1 from both sides.

\frac{-(2x-3)}{-1}=\frac{-1}{-1}

Fourth, simplify.

2x-3=1

Next, add by 3 from both sides.

2x-3+3=1+3

Then simplify.

2x=4

Therefore, divide by 2 from both sides.

\frac{2x}{2}=\frac{4}{2}

Finally, simplify.

x=2

<u><em>Answer⇒⇒⇒⇒x=2</em></u>

Hope this helps!

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8 0
3 years ago
Which inequality is shown in the graph?
sergij07 [2.7K]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

Find the Parabola's equation and express the equation as an inequality.

Vertex = (0, -5)

Equation

                               (x- h) ² = 4p(y - k)

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But, we need the area upper the parabola, then

                              y ≥ x² - 5

5 0
3 years ago
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