Math, asked by Elwyngg, 3 months ago

one root of the quadratic equation 2x²+px+4=0 is 2 find second root and value of p​

Answers

Answered by ananya2277
1

Answer:

We know that for a quadratic polynomial ax

2

+bx+c,

product of the zeros=

a

c

Here,quadratic polynomial is 2x

2

+px+4

One root is 2

Let the other root be a

Therefore,

2×a=

2

4

=>a=1

Therefore,

The other zero is 1

Also, sum of the zeros =

a

−b

=>1+2=

2

−p

=>3×2=−p

=>p=−6

Therefore,

p=−6 , other root=1

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