Question 909869
Set UP
1) (2x-1)^2 + x^2 = 34
 5x^2 - 4x + 1 = 34
 5x^2 - 4x - 33 = 0
(5x + 11)(x - 3) = 0, x = -11/5, 3 find corresponding pairs(2x-1)
Ordered pairs (3, 5) and ( -11/5, -27/5)
2) Pythagorean Theorem: 
25^2 + (35-x)^2 = x^2. 
625  + 1225 = 70x
3)(3w + 3)(w-1) = 72m^2
 3w^2 = 75 (Tossing out the negative solution for unit measure)
 w = 5m and L = 15m
4) {{{x/y - 21/10 = y/x}}}
{{{x/y - y/x= 21/10 }}}
{{{(x^2-y^2)/xy = 21/10}}}  x = ± 5, y = ± 2  
Ordered pairs( -5, -2) and (5,2)
5)2x - 5 = 3(x-5)  x Lara's age 
   10 = x, Lara's age. Jose 20