Question

If the sum of the roots of the equation 5x⁴-kx³+8x+1=0 is 6 then k=

Answer 1

Step-by-step explanation:

given: α +β + γ = 6, a = 5, b = -k, c = 8 and d = 1

but α + β + γ = -b/a = -(-k)/5

therefore -(-k)/5 = 6

=> k/5 = 6

=> k = 30

Answer 2

Question:-

If the sum of the root of the equation 5x⁴ - kx³ + 8x + 1 = 0 is 6 Then k is

Solution:-

Eq:- 5x⁴ - kx³ + 8x + 1 = 0

$\rm \: sum \: of \: the \: roots \: = \frac{ - coefficient \: of \: {x}^{3} }{coefficient \: of \: {x}^{4}}$

$\rm \: sum \: of \: roots = \frac{ - ( - k)}{5}$

sum of root are given 6

$\rm \: 6 = \frac{k}{5}$

Using cross multiplication we get

=> k = 30