Solve x=1,2=A(1^2+2(1)+2)=5A

$$x = 1,2 = A ( 1 ^ { 2 } + 2 ( 1 ) + 2 ) = 5 A$$

Solve for x, A

$$x=1$$

$$A=\frac{2}{5}=0.4$$

Solution Steps

Consider the second equation. Calculate 1 to the power of 2 and get 1.

$$2=A\left(1+2\times 1+2\right)$$

Multiply 2 and 1 to get 2.

$$2=A\left(1+2+2\right)$$

Add 1 and 2 to get 3.

$$2=A\left(3+2\right)$$

Add 3 and 2 to get 5.

$$2=A\times 5$$

Swap sides so that all variable terms are on the left hand side.

$$A\times 5=2$$

Divide both sides by 5.

$$A=\frac{2}{5}$$

The system is now solved.

$$x=1 A=\frac{2}{5}$$