SOLUTION: Hey can you work this out for me please and send me the formula? X^2 -4x = -3 Thanks Rich

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Hey can you work this out for me please and send me the formula? X^2 -4x = -3 Thanks Rich      Log On


   

Question 188888: Hey can you work this out for me please and send me the formula?
X^2 -4x = -3
Thanks
Rich
Found 2 solutions by checkley77, jojo14344:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X^2 -4x = -3
x^2-4x+3=0
(x-3)(x-1)=0
x-3=0
x=3 ans.
x-1=0
x=1 ans.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given:system%28x%5E2-4x=-3%29,==> x%5E2-4x%2B3=0, Quadratic Eqn., wheresystem%28a=1%2Cb=-4%2Cc=3%29

First, we find the vertex via, X -Intercept via x=-b%2F2a=-%28-4%29%2F%282%2A1%29=4%2F2=red%282%29
Substitute x to the eqn to get Y-Intercept:
y=2%5E2-4%282%29%2B3=4-8%2B3=red%28-1%29

Therefore, the vertex is at point (2,-1)

For the x-Intercepts, we solve the Eqn by Quadratic formula:
First the discriminant: b%5E2-4ac=-4%5E2-4%281%29%283%29=16-12=red%284%29
Then,
x=%28-%28-4%29%2B-sqrt%284%29%29%2F%282%2A1%29=%284%2B-2%29%2F2
x=%284%2B2%29%2F2=6%2F2=red%283%29
x=%284-2%29%2F2=2%2F2=red%281%29

For the Y-Intercept, let fx=0:
y=0%5E2-4%280%29%2B3=red%283%29

We plot the points:
-->



Thank you,
Jojo