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If ax^2 + bx + c = 0 has equal roots, then c = ?

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Question

If ax2 + bx + c = 0 has equal roots, then c = ?

Options

  • `b/(2a)`

  • `(b^2)/(4a)`

  • `-b/(2a)`

  • `-(b^2)/(4a)`

MCQ
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Solution

`bb((b^2)/(4a))`

Explanation:

Given,

ax2 + bx + c = 0 has equal roots

Since equations has equal roots,

Discriminant (D) = 0

⇒ b2 – 4ac = 0

⇒ b2 = 4ac

⇒ `c = (b^2)/(4a)`

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Chapter 5: Quadratic Equation - EXERCISE 5C [Page 63]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equation
EXERCISE 5C | Q 15. | Page 63
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