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Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake?
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Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) ...
Incorrect Analysis:
There is a mistake in the analysis provided for determining whether the given equation is a quadratic equation. Let's break down the mistake and correct it:
Mistake:
- The mistake in the given analysis is in the step where the equation is simplified to x2 + 10x − 3 = 0. This is not the correct simplification of the equation.
Correct Analysis:
Expanding the Equation:
- (x − 3) (2x + 1) = x (x + 5)
- 2x2 + x - 6x - 3 = x2 + 5x
- 2x2 - 5x - 3 = x2 + 5x
Combining Like Terms:
- 2x2 - 5x - 3 - x2 - 5x = 0
- x2 - 10x - 3 = 0
Conclusion:
- The correct simplified form of the equation is x2 - 10x - 3 = 0
- Since x2 - 10x - 3 is a quadratic polynomial, the given equation (x − 3) (2x + 1) = x (x + 5) is indeed a quadratic equation.
Corrected Conclusion:
- The given equation (x − 3) (2x + 1) = x (x + 5) is a quadratic equation.
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Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake?
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Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake?.
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Here you can find the meaning of Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? defined & explained in the simplest way possible. Besides giving the explanation of Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake?, a detailed solution for Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? has been provided alongside types of Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? theory, EduRev gives you an ample number of questions to practice Check weather it is quadratic equation (iv) (x−3) (2x + 1) = x(x + 5) We have: (x − 3) (2x + 1) = x (x + 5) ⇒ 2x2 + x − 6x −3= x2 + 5x ⇒ 2x2 − 5x − 3 − x2 − 5x =0 ⇒ x2 + 10x − 3= 0 Since x2 + 10x − 3 is a quadratic polynomial ∴ (x − 3) (2x + 1) = x(x + 5) is a quadratic equation. Find the mistake? tests, examples and also practice UPSC tests.
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