Class 10 Exam > Class 10 Questions > Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/...
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Solution set of 6x2 + x - 15 = 0 is
- a){5/3, 3/2}
- b)(-5/3, -3/2}
- c){5/3, 7/2}
- d){-5/3, 3/2}
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7...
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Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7...
Analysis of the Quadratic Equation:
The given quadratic equation is 6x^2 + x - 15 = 0.
Finding the Solution Set:
To find the solution set of the quadratic equation, we can either factorize the equation or use the quadratic formula.
Factoring Method:
We can factorize the quadratic equation as follows:
6x^2 + x - 15 = 0
6x^2 + 10x - 9x - 15 = 0
2x(3x + 5) - 3(3x + 5) = 0
(2x - 3)(3x + 5) = 0
Setting each factor to zero, we get:
2x - 3 = 0 or 3x + 5 = 0
2x = 3 or 3x = -5
x = 3/2 or x = -5/3
Therefore, the solution set is {3/2, -5/3}.
Using Quadratic Formula:
Alternatively, we can use the quadratic formula to find the solution set:
For the quadratic equation ax^2 + bx + c = 0, the quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 6, b = 1, and c = -15. Plugging these values into the formula, we get:
x = (-1 ± √(1^2 - 4*6*(-15))) / 2*6
x = (-1 ± √(1 + 360)) / 12
x = (-1 ± √361) / 12
x = (-1 ± 19) / 12
Therefore, x = (18 / 12) or x = (-20 / 12), which simplifies to x = 3/2 or x = -5/3.
Conclusion:
The solution set of the quadratic equation 6x^2 + x - 15 = 0 is {3/2, -5/3}. Therefore, the correct answer is option 'D' {9, -10}.
The given quadratic equation is 6x^2 + x - 15 = 0.
Finding the Solution Set:
To find the solution set of the quadratic equation, we can either factorize the equation or use the quadratic formula.
Factoring Method:
We can factorize the quadratic equation as follows:
6x^2 + x - 15 = 0
6x^2 + 10x - 9x - 15 = 0
2x(3x + 5) - 3(3x + 5) = 0
(2x - 3)(3x + 5) = 0
Setting each factor to zero, we get:
2x - 3 = 0 or 3x + 5 = 0
2x = 3 or 3x = -5
x = 3/2 or x = -5/3
Therefore, the solution set is {3/2, -5/3}.
Using Quadratic Formula:
Alternatively, we can use the quadratic formula to find the solution set:
For the quadratic equation ax^2 + bx + c = 0, the quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 6, b = 1, and c = -15. Plugging these values into the formula, we get:
x = (-1 ± √(1^2 - 4*6*(-15))) / 2*6
x = (-1 ± √(1 + 360)) / 12
x = (-1 ± √361) / 12
x = (-1 ± 19) / 12
Therefore, x = (18 / 12) or x = (-20 / 12), which simplifies to x = 3/2 or x = -5/3.
Conclusion:
The solution set of the quadratic equation 6x^2 + x - 15 = 0 is {3/2, -5/3}. Therefore, the correct answer is option 'D' {9, -10}.
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Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer?.
Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer?.
Solutions for Solution set of 6x2 + x - 15 = 0 isa){5/3, 3/2}b)(-5/3, -3/2}c){5/3, 7/2}d){-5/3, 3/2}Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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