SOLUTION: Solve please and thank you. (4x^2 -x+4)=(2x^2=5x+2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve please and thank you. (4x^2 -x+4)=(2x^2=5x+2)      Log On


   

Question 960478: Solve please and thank you. (4x^2 -x+4)=(2x^2=5x+2)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E2+-x%2B4=2x%5E2%2B5x%2B2
4x%5E2+-x%2B4-2x%5E2-5x-2=0
4x%5E2-2x%5E2+-x-5x%2B4-2=0
2x%5E2+-6x%2B2=0.....simplify
2x%5E2%2F2+-6x%2F2%2B2%2F2=0
x%5E2+-3x%2B1=0

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

x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A1+%29%29%2F%282%2A1%29+

x+=+%283+%2B-+sqrt%28+9-4+%29%29%2F2+
x+=+%283+%2B-+sqrt%28+5+%29%29%2F2+
exact solutions:
x+=+%283+%2B+sqrt%28+5+%29%29%2F2+
x+=+%283-+sqrt%28+5+%29%29%2F2+
approximate solutions:
x+=+%283+%2B+2.24%29%2F2+ =>x+=+2.62+
x+=+%283-+2.24%29%2F2+ =>x+=+0.38+