Asked by Genesis

Solving Quadratic Systems

x^2+y^2=10
2x+y=4

Please show work I need to know how to do it
Answered by Steve
since we know y = 4-2x, use that:

x^2+(4-2x)^2 = 10
5x^2 - 16x + 6 = 0

Now it's just the normal routine for solving a quadratic equation.
Answered by Genesis
how do I solve the answer
Answered by Reiny
from the type of problem that you posted, you surely MUST know how to solve quadratic equations.

Steve took you as far as 5x^2 - 16x + 6 = 0 and made the same assumption I made.
I suggest using the quadratic formula.
(you will get two irrational answers)
There are no AI answers yet. The ability to request AI answers is coming soon!