Question

G(x) = x2 - 2x +3 for g

Answer 1

Answer:

Since  

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

x

2

−

2

x

+

3

=

G

(

x

)

Multiply  

G

by  

x

.

x

2

−

2

x

+

3

=

G

x

Subtract  

G

x

from both sides of the equation.

x

2

−

2

x

+

3

−

G

x

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

1

,  

b

=

−

2

−

G

, and  

c

=

3

into the quadratic formula and solve for  

x

.

−

(

−

2

−

G

)

±

√

(

−

2

−

G

)

2

−

4

⋅

(

1

⋅

3

)

2

⋅

1

Simplify.

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x

=

2

+

G

±

√

G

2

+

4

G

−

8

2

The final answer is the combination of both solutions.

x

=

2

+

G

+

√

G

2

+

4

G

−

8

2

x

=

2

+

G

−

√

G

2

+

4

G

−

8

2

Step-by-step explanation: