Find the number k such that the given equation has exactly one real solution x...

kominis3q

kominis3q

Answered

2022-07-25

Find the number k such that the given equation has exactly one real solution x 2 k x + 64 = 0

Answer & Explanation

berouweek

berouweek

Expert

2022-07-26Added 11 answers

The given equation is x 2 k x + 64 = 0
To solve K, use the discriminant b 2 4 a c = 0   w h e n   a x 2 + b x + c = 0
Here a = 1, b = -K, c = 64
b 2 4 a c = 0 ( K ) 2 4 χ 1 χ 64 = 0 ( K ) 2 256 = 0 ( K ) 2 = 256 K = 256 = 16

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