Question

Solve the quadratic equation by completing the square

X^2+14x+35=0
First choose the appropriate form and fill in the blanks with the correct numbers
Then solve the equation if there is more than one solutionseparate them with commas

Answer 1

x= -7±√14

Explanation:

Using the quadratic equation, Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

1

a

=

1

,

b

=

14

b

=

14

, and

c

=

35

c

=

35

into the quadratic formula and solve for

x

x

.

−

14

±

√

14

2

−

4

⋅

(

1

⋅

35

)

2

⋅

1

-

14

±

14

2

-

4

⋅

(

1

⋅

35

)

2

⋅

1

Simplify.

Tap for more steps...

x

=

−

7

±

√

14

x

=

-

7

±

14

The result can be shown in multiple forms.

Exact Form:

x

=

−

7

±

√

14

x

=

-

7

±

14

Decimal Form:

x

=

−

3.25834261

…

,

−

10.74165738

…