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A quadratic equation $x^{2} - 8 x + c = 0$ has equal roots. The product of the roots is:

Class 10Sum and Product of RootsAlgebra — Quadratics

A16
B8
C4
D64

Step-by-Step Solution

Equal roots: each =

\frac{sum}{2} = \frac{8}{2} = 4

. Product =

4 \times 4 = 16

. (Or

c = 16

from discriminant

64 - 4 c = 0.

)

Answer: A) 16

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