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zepelin [54]
2 years ago
10

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

Mathematics
1 answer:
xeze [42]2 years ago
5 0

Answer:

x=4+√73 or x=4−√73

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−8x−48=9

Step 2: Add 48 to both sides.

x^2−8x−48+48=9+48

x^2−8x=57

Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides.

x^2−8x+16=57+16

x^2−8x+16=73

Step 4: Factor left side.

(x−4)^2=73

Step 5: Take the square root.

x−4=±√73

Step 6: Add 4 to both sides.

x−4+4=4±√73

x=4±√73

x=4+√73 or x=4−√73

Answer:

x=4+√73 or x=4−√73

If this answer helped you, I would greatly appreciate it if you gave me brainliest :D.

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2 years ago
Need ASAP <br> Select the correct answer.<br> Which expression is equivalent to this quotient?
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4 0
3 years ago
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Please show me how you got this answer <img src="https://tex.z-dn.net/?f=%5Csqrt%7B18a%5E2%7D%2A4%5Csqrt%7B3a%5E2%7D" id="TexFor
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Answer:

Step-by-step explanation:

Comment

18 factors into 2 * 3 * 3

Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.

The same rule applies to the two 3s that factor 18.

What you get is

3a√2 * 4*a*√3

Answer 12a^2 √2 * √3

Answer: 12a^2 * √6

5 0
2 years ago
HELP PLZ NEED HELP SHOW WORK TOO
monitta
15.        3x - 2y = -2
      3x - 3x - 2y = -3x - 2
                   -2y = -3x - 2
                    -2         -2
                       y = 1.5x + 1

y - y₁ = m(x - x₁)
 y - 3 = ⁻²/₃(x - (-2))
 y - 3 = ⁻²/₃(x + 2)
 y - 3 = ²/₃(x) - ²/₃(2)
 y - 3 = ⁻²/₃x - 1¹/₃
   + 3            + 3
       y = ⁻²/₃x + 1²/₃

16. 230 = 0.2s + 150
    - 150             - 150
        80 = 0.2s
        0.2    0.2
      400 = s

17. y = 2x + 2
5 0
3 years ago
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