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01-05-2019
Mathematics

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find a non-zero value of K such that kx^2+ 8x+8+= 0 has only one solution. What is the solution?

Respuesta :

a5904640 a5904640

01-05-2019

kx² + 8x + 8 = 0

We want this to have just one solution, we know this equation:

x = (-b ± √Δ)/2a

So if Δ = 0 we have just one solution.

Δ = b² - 4.a.c

0 = 8² - 4.k.8

0 = 64 - 32k

32k = 64

k = 2

2x² + 8x + 8 = 0

x² + 4x + 4 = 0

(x + 2)² = 0

x + 2 = 0

x = -2

The solution is -2.

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