Rewrite the equation by completing the square x^2+2x-35=0

Question

Mathematics

Patsy

13 September, 11:35

Rewrite the equation by completing the square x^2+2x-35=0

+5

Answers (2)

Know the Answer?

Rudy Mccall · Answer 1

Step-by-step explanation:

x2 + 2x - 35 = 0

x2 + 7x - 5x - 35

x (x + 7) - 5 (x + 7)

(x - 5) (x + 7) = 0

x - 5 = 0. x + 7 = 0

x = 5. x = - 7

Jaylyn Pierce · Answer 2

Answ

0

=

x

2

-

2

x

-

35

=

x

2

-

2

x

+

1

-

1

-

35

=

(

x

-

1

)

2

-

36

=

(

x

-

1

)

2

-

6

2

=

(

(

x

-

1

)

-

6

)

(

(

x

-

1

)

+

6

)

=

(

x

-

7

)

(

x

+

5

)

So

x

=

7

or

x

=

-

5

I used the difference of squares inequality along the way:

(

a

2

-

b

2

)

=

(

a

-

b

)

(

a

+

b

)