+0

# Algebra

0
140
1

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

May 9, 2022

#1
+2602
0

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