5 points 26. The equation x^2 + 8x - k(x + 8) = 0 has equal roots. Find the value of k.
please help
will mark it BRAINLIEST.
I really need help :(
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k = - 8

Step-by-step explanation:

Since the equation has equal roots then the discriminant Δ = 0 , that is

b² - 4ac = 0

Given

x² + 8x - k(x + 8) = 0 ← distribute parenthesis and simplify

x² + 8x - kx - 8k = 0

x² + (8 - k)x - 8k = 0 ← in standard form

with a = 1 , b = (8 - k) , c = - 8k

(8 - k)² - (4 × 1 × - 8k) = 0

64 - 16k + k² - (- 32k) = 0

64 - 16k + k² + 32k = 0

k² + 16k + 64 = 0

(k + 8)² = 0

k + 8 = 0 , then

k = - 8

2 is the final ! : )