At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
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]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.