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Alina [70]
3 years ago
5

If using the method of completing the square to solve the quadratic equation x^2+17x+12=0x 2 +17x+12=0, which number would have

to be added to "complete the square"?
Mathematics
2 answers:
Ronch [10]3 years ago
7 0

Answer:

(x+7/2)=1/4​

Step-by-step explanation:

I got it on Khan Academy, trust me. It's right. I got it wrong because of the other answer here, so your welcome, but this is the correct answer, Khan Academy people.

umka2103 [35]3 years ago
6 0

Answer:

289/4

Step-by-step explanation:

x² + 17x + 12 = 0

x² + 17x = -12

Take half of the second coefficient, square it, then add the result to both sides.

(17/2)² = 289/4

x² + 17x + 289/4 = -12 + 289/4

(x + 17/2)² = 241/4

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<u>Story Problem</u>

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Answer:

The area of the rectangle on the left side is

9cm \:  \times 4cm = 36 {cm}^{2}

The area of the bottom rectangle is

6cm \times 2cm = 12 {cm}^{2}

The total area of the composite figure will be

36 {cm}^{2}  + 12 {cm}^{2}  = 48 {cm}^{2}

Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

8 0
3 years ago
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