26.2k views
4 votes
Find the value of “K” given that one solution of the equation

Find the value of “K” given that one solution of the equation-example-1
User Minusf
by
7.8k points

1 Answer

3 votes

Answer:

k = -54

Explanation:

5(x^2-k/5x+8)=0

write in factor form:

(x - 4/5)(x - ?) = x^2 - k/5x + 8

expand out:

x^2 + ?x - 4/5x - 4/5(-?) = x^2 - k/5x + 8

so -4/5(-?) will be equal + 8, then

take 8/(-4/5) = -10

replace -10 with ?

x^2 + (-10)x - 4/5x - 4/5(-10)

x^2 - 54/5x + 8

mutiply by five to get the original num

5(x^2 - 54/5x + 8)

5x^2 - 54x +40

k=-54

User Phorce
by
9.2k points

No related questions found