Answer:
Use the discriminant
Explanation:
discriminant = b^2-4ac, and if this is 0, then there is only one real root
k^2 - 4(k-1) = 0
k^2 - 4k + 4 = 0
(k-2) = 0
k = 2
x²+kx+k-1=0
(x²)+(k)x+(k-1)=0
if has one real roots = use the formula b² - 4ac = 0
(k)² - 4 * 1 * (k-1) = 0
k² -4k +4 = 0
k²-2k-2k+4=0
k(k-2)-2(k-2)=0
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