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The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be?
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The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be...
- Given equation: x² - (p+4)x + 2p + 5 = 0
Equal roots: When a quadratic equation has equal roots, the discriminant (b² - 4ac) is equal to zero. In this case, the discriminant is (p+4)² - 4(2)(2p+5) = 0.
- Calculating the discriminant:
(p+4)² - 4(2)(2p+5) = 0
p² + 8p + 16 - 16p - 40 = 0
p² - 8p - 24 = 0
- Solving the quadratic equation:
(p-12)(p+2) = 0
p = 12 or p = -2
Therefore, the values of p that will result in the given equation having equal roots are p = 12 and p = -2. These values satisfy the condition of the discriminant being zero, ensuring that the equation has equal roots.
Equal roots: When a quadratic equation has equal roots, the discriminant (b² - 4ac) is equal to zero. In this case, the discriminant is (p+4)² - 4(2)(2p+5) = 0.
- Calculating the discriminant:
(p+4)² - 4(2)(2p+5) = 0
p² + 8p + 16 - 16p - 40 = 0
p² - 8p - 24 = 0
- Solving the quadratic equation:
(p-12)(p+2) = 0
p = 12 or p = -2
Therefore, the values of p that will result in the given equation having equal roots are p = 12 and p = -2. These values satisfy the condition of the discriminant being zero, ensuring that the equation has equal roots.
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The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be?
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The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be?.
The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation x²-(p+4)x+2p+5=0 has equal roots. the values of p will be?.
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