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