If a and b are the roots of the equation 2x^2−px+7=0 Then a-b is a root of ?

Orion Cervantes 2022-09-17 Answered
If a and b are the roots of the equation
2 x 2 p x + 7 = 0
Then a-b is a root of ?
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Answers (1)

pedradauy
Answered 2022-09-18 Author has 8 answers
So, a + b = p 2 and a b = 7 2
If y = a b => y 2 = ( a + b ) 2 4 a b
=> y 2 = ( p 2 ) 2 4 7 2
So, a-b is a root of 4 y 2 p 2 + 56 = 0

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