Question 587205
1.) Solve this equation by factoring:
      
          a.9x - 5 = 2x^2
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9x - 5 = 2x^2
-5 = 2x^2-9x
0 = 2x^2-9x+5
0 = 2x^2 -10x+x +5
0 = (2x^2-10x) + (x+5)
0 = 2x(x-5) + (x+5)
0 = (x+5)(2x+1)
x = {-5,-1/2} 
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2.) Solve the equation:

  a.{{{ sqrt(x)= 1 -2x}}}
.
{{{ sqrt(x)= 1 -2x}}}
square both sides:
{{{ x = (1-2x)^2}}}
{{{ x = (1-2x)(1-2x)}}}
{{{ x = 1-2x-2x+4x^2}}}
{{{ x = 1-4x+4x^2}}}
{{{ x = 4x^2-4x+1}}}
{{{ 0 = 4x^2-5x+1}}}
{{{ 0 = (4x-1)(x-1)}}}
x = {1/4, 1}