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What are the solutions for the equation 3x2 −5x +2 = 0?
- a)x = −1, x = −(3/2)
- b)x = 1, x = 2/3
- c)x = −5, x = 2/3
- d)x = 2/5, x = 1
- e)x = −1, x = 3/2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What are the solutions for the equation 3x2 −5x +2 = 0?a) x = &m...
The correct answer is b. The first step in answering this question is to factor the equation 3x2 -5x + 2 = 0:
(3x - 2)(x - 1) = 0
To find the two solutions to this equation, solve for zero:
3x - 2 = 0
3x = 2
x = 2/3 (solutions 1)
x - 1 = 0
x = 1 (solutions 2)
The solutions to the equation given are x = 1 and x = 2/3.
(3x - 2)(x - 1) = 0
To find the two solutions to this equation, solve for zero:
3x - 2 = 0
3x = 2
x = 2/3 (solutions 1)
x - 1 = 0
x = 1 (solutions 2)
The solutions to the equation given are x = 1 and x = 2/3.
Community Answer
What are the solutions for the equation 3x2 −5x +2 = 0?a) x = &m...
Analysis of the Equation:
The given equation is a quadratic equation in the form of ax^2 + bx + c = 0 where a = 3, b = -5, and c = 2.
Using the Quadratic Formula:
The solutions for a quadratic equation can be found using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a.
Substituting the values:
Substitute the values of a, b, and c into the quadratic formula:
x = (5 ± √((-5)^2 - 4*3*2)) / 2*3
x = (5 ± √(25 - 24)) / 6
x = (5 ± √1) / 6.
Calculating the Solutions:
1. x = (5 + 1) / 6 = 6 / 6 = 1
2. x = (5 - 1) / 6 = 4 / 6 = 2/3.
Final Answer:
Therefore, the solutions for the equation 3x^2 - 5x + 2 = 0 are x = 1 and x = 2/3, which matches option B.
The given equation is a quadratic equation in the form of ax^2 + bx + c = 0 where a = 3, b = -5, and c = 2.
Using the Quadratic Formula:
The solutions for a quadratic equation can be found using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a.
Substituting the values:
Substitute the values of a, b, and c into the quadratic formula:
x = (5 ± √((-5)^2 - 4*3*2)) / 2*3
x = (5 ± √(25 - 24)) / 6
x = (5 ± √1) / 6.
Calculating the Solutions:
1. x = (5 + 1) / 6 = 6 / 6 = 1
2. x = (5 - 1) / 6 = 4 / 6 = 2/3.
Final Answer:
Therefore, the solutions for the equation 3x^2 - 5x + 2 = 0 are x = 1 and x = 2/3, which matches option B.
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What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer?
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What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer?.
What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the solutions for the equation 3x2 −5x +2 = 0?a) x = −1, x = −(3/2)b)x = 1, x = 2/3c)x = −5, x = 2/3d)x = 2/5, x = 1e)x = −1, x = 3/2Correct answer is option 'B'. Can you explain this answer?.
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