Question

Solve the two step equation below:

Answer 1

Answer for

14

=

2

x

^2

+

x

Step-by-step explanation:

Rewrite the equation as  2

x^

2

+

x=

14

.

2

x

^2

+

x

=

14

Move  14  to the left side of the equation by subtracting it from both sides.

2

x

^2

+

x

−

14

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

^2

−

4

(

a

c

)

       2

a

Substitute the values  a

=

2

,  b

=

1

, and  c

=

−

14  into the quadratic formula and solve for  x

.

−

1

±

√

1

2

−

4

⋅

(

2

⋅

−

14

)

        2

⋅

2

Simplify the numerator.

x

=

−

1

±

√

113

    2

⋅

2

Multiply  2  by  2

.

x

=

−

1

±

√

113

      4

The final answer is the combination of both solutions.

x

=

−

1

−

√

113

 -  1

+

√

113  

       4               4

The result can be shown in multiple forms.

Exact Form:

x

=

−

1

−

√

113  

,  −

1

+

√

113

4

      4               4

Decimal Form:

x

=

2.40753645

…  ,  −

2.90753645

…

Answer 2

14=2x-2
(2)+14=2x-2+(2)
2/16=2x/2
8=x