SOLUTION: Solve For X. 5x^2 + 2 = 9x 5x^2-9x+2=0 (Divide everything by 5) x^2 + 2/5 - 9x/5 + 2/5 = 0 This is where I get lost. I believe I should be using quadratic formula to

Algebra ->  Equations -> SOLUTION: Solve For X. 5x^2 + 2 = 9x 5x^2-9x+2=0 (Divide everything by 5) x^2 + 2/5 - 9x/5 + 2/5 = 0 This is where I get lost. I believe I should be using quadratic formula to      Log On


   

Question 688622: Solve For X.
5x^2 + 2 = 9x
5x^2-9x+2=0
(Divide everything by 5)
x^2 + 2/5 - 9x/5 + 2/5 = 0

This is where I get lost. I believe I should be using quadratic formula to continue on but do not know how to do so. Please finish this problem for me, with work if possible. Thanks so much!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2+%2B+2+=+9x+

5x%5E2+%2B+2+-+9x+=+0+

5x%5E2+-+9x+%2B+2+=+0+

Use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%28-9%29%2B-sqrt%28%28-9%29%5E2-4%285%29%282%29%29%29%2F%282%285%29%29 Plug in a+=+5, b+=+-9, c+=+2

x+=+%289%2B-sqrt%2881-%2840%29%29%29%2F%2810%29

x+=+%289%2B-sqrt%2841%29%29%2F10

Exact Solutions:x+=+%289%2Bsqrt%2841%29%29%2F10 or x+=+%289-sqrt%2841%29%29%2F10

Approximate Solutions:x+=+1.540312 or x+=+0.259688