SOLUTION: 1.) Solve this equation by factoring: a.9x - 5 = 2x^2 2.) Solve the equation: a.{{{ sqrt(x)= 1 -2x}}}

Algebra ->  Equations -> SOLUTION: 1.) Solve this equation by factoring: a.9x - 5 = 2x^2 2.) Solve the equation: a.{{{ sqrt(x)= 1 -2x}}}       Log On


   

Question 587205: 1.) Solve this equation by factoring:

a.9x - 5 = 2x^2
2.) Solve the equation:
a.+sqrt%28x%29=+1+-2x
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
1.) Solve this equation by factoring:

a.9x - 5 = 2x^2
.
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}
.
2.) Solve the equation:
a.+sqrt%28x%29=+1+-2x
.
+sqrt%28x%29=+1+-2x
square both sides:
+x+=+%281-2x%29%5E2
+x+=+%281-2x%29%281-2x%29
+x+=+1-2x-2x%2B4x%5E2
+x+=+1-4x%2B4x%5E2
+x+=+4x%5E2-4x%2B1
+0+=+4x%5E2-5x%2B1
+0+=+%284x-1%29%28x-1%29
x = {1/4, 1}