# Find all real solutions to x

• January 26th 2009, 07:12 PM
tmac11522
Find all real solutions to x
• January 26th 2009, 07:14 PM
GaloisTheory1
Quote:
what have you done so far?
• January 26th 2009, 07:22 PM
tmac11522
i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck
• January 26th 2009, 07:35 PM
GaloisTheory1
Quote:

Originally Posted by tmac11522
i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck

• January 26th 2009, 07:38 PM
topher0805
Quote:

Originally Posted by tmac11522
i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck

Recall that a quadratic of the form:

$ax^2 + bx + c = 0$

Can be solved by using this equation:

$
x = \frac{-b \pm \sqrt {b^2 - 4ac}}{2a}$