SOLUTION: I'm having issues with these types of problems sinking in. -5x+3=x^2+2x, -5x+3-x^2+2x=0 then we're left with -2x+3-x^2 we rearrange that to look like -x^2-2x+3 then...x^2+2x-3 (x+

Question 1036813: I'm having issues with these types of problems sinking in. -5x+3=x^2+2x, -5x+3-x^2+2x=0 then we're left with -2x+3-x^2 we rearrange that to look like -x^2-2x+3 then...x^2+2x-3 (x+3)(x-1) I feel like I'm doing it wrong. Here's the problem.....
Find the values of x for which f(x) = g(x)
a. f(x) = -5x + 3, g(x) = x^2 + 2x

Found 3 solutions by josgarithmetic, addingup, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

First use basic algebraic properties.

------not factorable in integer coefficients.

You can solve for the variable using either complete-the-square or going directly to general solution formula. (Quadratic Equation)
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
f(x) = -5x+3, g(x) = x^2+2x Move all the terms to the left side:
x^2+2x-5x+3 = 0 Combine like terms:
x^2-3x+3 = 0
Now we have a quadratic equation in the form ax^2+bx+c, so i'll solve it by using the quadratic formula:
x = -(-3�2)+-√(-3�2)2-3
Run the calculations and you get:
x = 1.5�0.866025403784i This calculation has no real solution. Usually you don't have to go beyond this point.

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
I'm having issues with these types of problems sinking in.

-5x+3 = x^2+2x, -5x+3-x^2+2x = 0 ! Wrong. Correct is: -5x+3-x^2-2x = 0 then we're left with -2x+3-x^2 ! Naturally, all that follows is wrong . . . we rearrange that to look like -x^2-2x+3 then...x^2+2x-3 (x+3)(x-1) I feel like I'm doing it wrong. Here's the problem..... Find the values of x for which f(x) = g(x) a. f(x) = -5x + 3, g(x) = x^2 + 2x ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your problem is in that you don't know the rule of moving terms from one side of an equation to the other side.
The rule is: at each such move you MUST change the sign of the term to the OPPOSITE one.

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