# Inter. Algebra

posted by
**bobpursley**
.

I find it curious here:

a - b=2 in this case,

rationalize by multplying both sides by a+b, getting

a-b=2

a^2-b^2=2(a+b)

2x+3-x+2=2(a+b)

(x+5)/2 = a+b

now add the original equation..

2= a-b

or 2a= 2+ x/2 + 5/2

4sqrt(2x+3)= x+9

square both sides..

16(2x+3)= x^2+18x + 81

x^2-14x+33=0

(x-3)(x-11)=0

square root sign 2x+3 - square root sign x-2 = 2. And the instructions are to solve the equation.