What is the solution of this system of nonlinear equations?

(1) x2 + y2 = 25

(2) y = x2 + 6

Question

What is the solution of this system of nonlinear equations?

(1) x2 + y2 = 25

(2) y = x2 + 6

anonymous · Answer

(0, 5)

(1, 5) and (–1, 5)

(5, 0) and (–5, 0)

no solution

anonymous · Answer

@amistre64

owlcoffee · Answer

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:
$$x^2+(x^2+6)^2=25$$

anonymous · Answer

ok

anonymous · Answer

so its no solution

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

(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