SOLUTION: The math problem says solve for 'X' 5x^2-3x=1 i had to subract from both sides 5x^2-3x-1=1-1 5x^2-3x-1=0 it says i have to apply the quadratic formula. Once i plugged my

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Question 292613: The math problem says solve for 'X'
5x^2-3x=1
i had to subract from both sides
5x^2-3x-1=1-1
5x^2-3x-1=0
it says i have to apply the quadratic formula. Once i plugged my numbers in for -4AC it says its wrong.. how do i plugg them in ? so i can finnish solivng the rest of the equation.
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
not just 4ac but the whole quadratic formula.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=29 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.83851648071345, -0.23851648071345. Here's your graph:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

When you get here:



Compare that to



and you can see that ,  and 

Then you write



Now substitute  for ,  for , and  for c
in that equation, and when you do you get:



Then you simplify that:





So you have two solutions.

Solution 1 has a + where the ± is


Then use your calculator to get the approximation for solution 1:
 
 
Solution 2 has a - where the ± is


Then use your calculator to get the approximation for solution 2:


Edwin
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