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The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal and rational roots. The values of a and c respectively cannot be equal to 1. 4&49 2. 49&16 3. 4&64 4. 8&49?
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The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal a...

we get the condition is ac = b^2
here you should remember that roots will be rational number only when coefficient of roots also will be rational number.
so, a , b and c are also rational numbers.

check option (d) 
8 and 49 
ac = 8 x 49 = b^2 => b = +-14√2 {irradiation number}
but b is also a rational number so, option (d) is not satisfied the above condition.
hence, a and c respectively cannot equal to 8 and 49. 

so, option (d) is correct.
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The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal and rational roots. The values of a and c respectively cannot be equal to 1. 4&49 2. 49&16 3. 4&64 4. 8&49?
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The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal and rational roots. The values of a and c respectively cannot be equal to 1. 4&49 2. 49&16 3. 4&64 4. 8&49? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal and rational roots. The values of a and c respectively cannot be equal to 1. 4&49 2. 49&16 3. 4&64 4. 8&49? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The quadratic equation abx2 acx b(bx c) = 0 has non-zero equal and rational roots. The values of a and c respectively cannot be equal to 1. 4&49 2. 49&16 3. 4&64 4. 8&49?.
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