Question

What is the solution of this system of nonlinear equations?

(1) x2 + y2 = 25

(2) y = x2 + 6

Answer 1

(0, 5)

(1, 5) and (–1, 5)

(5, 0) and (–5, 0)

no solution

Answer 2

@amistre64

Answer 3

since equation 2 already has a variable solved for:
\[y=x ^2 +6\]
All we have to do is plug it on the first one:
\[x^2+(x^2+6)^2=25\]

Answer 4

ok

Answer 5

so its no solution

Answer 6

x^4+13 x^2+36 = 25

Answer 7

id simply test the options to see which one makes both equation the same

Answer 8

(1) x2 + y2 = 25
(2) y = x2 + 6

when x=0, y does not equal 5 for both of them

when y=0, x does not equal 5 for both of them

test out the remaining point ... if it fails then we know its D or not