SOLUTION: how do I solve this equation for x 5xsquared +3x -4 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: how do I solve this equation for x 5xsquared +3x -4 = 0      Log On


   

Question 3377: how do I solve this equation for x 5xsquared +3x -4 = 0
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2+%2B+3x+-+4+=+0
This problem does not factor nicely; to solve it, you need the quadratic formula:

%28-b+%2B-+sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29, where the general form of a quadratic equation is ax%5E2+%2B+bx+%2B+c+=+0

The formula for this problem is:

%28-3+%2B-+sqrt%283%5E2-4%2A5%2A%28-4%29%29%29%2F%282%2A5%29

%28-3+%2B-+sqrt%289%2B80%29%29%2F10

%28-3+%2B-+sqrt%2889%29%29%2F10

%28-3+%2B-+9.434%29%2F10

The roots of the equation are -12.434 and 6.434. This means the equation factors to (x + 12.434)(x + - 6.434) = 0