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Solve for x: −3(x − 2)2 + 17 = 0 Round your answer to the nearest hundredth.
x = 0.38, −4.38
x = 3.67, −7.67
x = 4.38, −0.38
x = 7.67, −3.67

Sagot :

Mhanifaidn

Answer:

  • C. x = 4.38, −0.38

Step-by-step explanation:

  • -3(x - 2)² + 17 = 0
  • -3(x - 2)² = - 17
  • (x - 2)² = 17/3
  • x - 2 = ± [tex]\sqrt{17/3}[/tex]
  • x - 2 = ± 2.38
  • x = 2 + 2.38 = 4.38 or x = 2 - 2.38 = -0.38

Correct choice is C

Answer:

[tex]x = 4.38[/tex]

Step-by-step explanation:

Solve the equation:

[tex] - 3(x - 2)2 + 17 = 0x[/tex]

Apply multiplicative distribution law:

[tex] - (3x - 6) \times 2 + 17 = 0[/tex]

Apply muliplicative distribution law:

[tex] - 6x + 12 + 17 = 0[/tex]

Rearrange unknown terms to the left side of the equation:

[tex] - 6x = - 12 - 17[/tex]

Calculate the sum or difference:

[tex] - 6x = - 29[/tex]

Divide both sides of the equation by the coefficienr of variable:

[tex]x = - 29 \div ( - 6)[/tex]

Calculate:

[tex]x = \frac{29}{6} [/tex]

Round the number:

[tex]x = \frac{29}{6} \\ 0.01[/tex]

Round the number:

[tex]x = 4.38[/tex]

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