Question 633280: solve nonlinear system of equations for real solutions
y=x^2-3
8x-y=18
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! solve nonlinear system of equations for real solutions
y = x^2 - 3
8x - y = 18
rearrange for elimination
x^2 - y = 3
8x - y = 18
--------------Subtraction eliminates y, find x
x^2 - 8x = -15
A quadratic equation
x^2 - 8x + 15 = 0
Factors to
(x-3)(x-5) = 0
two solution
x = 3, x = 5
:
Find y using x=3 in the 2nd equation
8(3) - y = 18
24 - y = 18
y = 6
and
Find y using x=5 in the 2nd equation
8(5) - y = 18
40 - y = 18
y = 22
:
Solutions: 3,6 and 5,22
:
You should check both solutions in the 2nd equation
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