If alpha and beta are the zeroes of the polynomial F(x) = 5x2 + 4x -9 then evaluate (1) alpha -beta
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Hey there!!
Here's your answer..
The given polynomial equation is 5 x² + 4 x - 9 = 0
Now, let us factorise this
5 x² + 4 x - 9 = 5 x² + 9 x - 5 x - 9 = 0
⇒ 5 x ( x - 1) + 9 ( x - 1) = 0
⇒ ( x - 1) ( 5 x + 9) = 0
So, α = 1 and β = - 9/5
α - β = 1 - ( -9/5) = 1 + 9 /5 = 14/5
If α = -9/5 and β = 1
Then α - β = -9/5 - 1 = -14/5
Hope it helps!!
Here's your answer..
The given polynomial equation is 5 x² + 4 x - 9 = 0
Now, let us factorise this
5 x² + 4 x - 9 = 5 x² + 9 x - 5 x - 9 = 0
⇒ 5 x ( x - 1) + 9 ( x - 1) = 0
⇒ ( x - 1) ( 5 x + 9) = 0
So, α = 1 and β = - 9/5
α - β = 1 - ( -9/5) = 1 + 9 /5 = 14/5
If α = -9/5 and β = 1
Then α - β = -9/5 - 1 = -14/5
Hope it helps!!
Rahulpoddar:
how can you put LHS = 0 in question it not written it is equal to f(x)
In the question, it is given that alpha and beta are the zeroes of the polynomial.. That definitely mans this
means**
if you put the put of alpha and beta in given equation then the equation becomes zero
okhh thanks
put is repeated by mistake
Now, check out
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