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P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are?
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P if minus 4 is a root of the equation X square + X - 4 is equal to ze...
Analysis of the Given Equation:
- Given equation: X^2 + X - 4 = 0
- We know that -4 is a root of the given equation.
Finding the Second Root:
- Using the sum of roots formula, we know that the sum of roots of a quadratic equation is -b/a.
- Since one root is -4, the sum of the roots is -1.
- Therefore, the second root must be 1.
Equation with Equal Roots:
- For a quadratic equation to have equal roots, the discriminant should be zero.
- The discriminant is given by b^2 - 4ac.
- Since the roots are equal, the discriminant is 0.
- Substituting the values in the equation X^2 + aX + b = 0, we get a = 0 and b = 1.
Therefore, the values of a and b for the equation X^2 + aX + b = 0 to have equal roots are a = 0 and b = 1.
- Given equation: X^2 + X - 4 = 0
- We know that -4 is a root of the given equation.
Finding the Second Root:
- Using the sum of roots formula, we know that the sum of roots of a quadratic equation is -b/a.
- Since one root is -4, the sum of the roots is -1.
- Therefore, the second root must be 1.
Equation with Equal Roots:
- For a quadratic equation to have equal roots, the discriminant should be zero.
- The discriminant is given by b^2 - 4ac.
- Since the roots are equal, the discriminant is 0.
- Substituting the values in the equation X^2 + aX + b = 0, we get a = 0 and b = 1.
Therefore, the values of a and b for the equation X^2 + aX + b = 0 to have equal roots are a = 0 and b = 1.
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P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are?
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P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are?.
P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P if minus 4 is a root of the equation X square + X - 4 is equal to zero the equation X square + a x + b is equal to zero has equal roots the value of a and B are?.
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