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Sagot :
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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