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Let a and b be the roots of 2x^2+7x+11=x^2+9x+2. Find ab+a+b

 May 9, 2022
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We can rewrite the equation as: \(x^2-2x+9=0\)

 

Using Vieta's, the sum of the roots (a+b) is \(\large{-{b \over a}} = 2\), and the sum of the roots (ab) is \(\large {c \over a} = 9\)

 

We can also rewrite \(ab + a+b\) as \(ab + (a+b)\)

 

Can you take it from here?

 May 9, 2022

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