What is q(x)=2,x^2+6r(x)=-2 ?

The solution to q(x)=2,x^2+6r(x)=-2 is

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q(x)=2,x^2+6r(x)=-2

q (x) = 2, x^{2} + 6 r (x) = - 2

(r \in R, r \in R, x = - 3 r + 9 r^{2} - 2, x = - 3 r - 9 r^{2} - 2, q = 2 q = 2)

Solution steps

[q = 2 x^{2} + 6 r (x) = - 2]

Solve

x^{2} + 6 r (x) = - 2

for

q = 2 : (r \in R, x = - 3 r + 9 r^{2} - 2, q = 2), (r \in R, x = - 3 r - 9 r^{2} - 2, q = 2)

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

q = 2, x^{2} + 6 r (x) = - 2

are

(r \in R, r \in R, x = - 3 r + 9 r^{2} - 2, x = - 3 r - 9 r^{2} - 2, q = 2 q = 2)

x_{1} = - 5, x^{2} = 3

x - 2 y = 1, x y = 3

x + y = 3, x^{2} + y^{2} = 2

x + y = 6, x + y = 8

x + 8 - x + y = 6, y = 2