Question

If − 4 is the root of the equation kx
^2 – 14x + 8 = 0 , find k.​

Answer 1

Answer:

Answer:

k = 3

Step-by-step explanation:

Let the 2 roots of the equation be α and β

According to the given condition, α = 6β

Therefore (x-α) (x-β) = 0

x² - (α+β) + αβ = 0

Substituting α = 6β ,

x² - (6β+β) + 6β×β = 0

x² - 7β + 6β² = 0  

Now, comparing with  kx² -14x +8 =0

7β =14/k

β =2/k

β² = 4/k² ------------ (1)

On comparing we also get that ,

6β² =8/k

β² =4/3k -------------- (2)

From (1) and (2) ,

4/k² = 4/3 k

∴k = 3

HOPE IT HELPS

Answer 2

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