X^(2)+6x-25=0

How can I complete the square?

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve by Completing the Square x^2-6x+25=0

x

2

−

6l

Subtract

25

from both sides of the equation.

x

2

−

6

x

=

−

25

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

−

3

)

2

Add the term to each side of the equation.

x

2

−

6

x

+

(

−

3

)

2

=

−

25

+

(

−

3

)

2

Simplify the equation.

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x

2

−

6

x

+

9

=

−

16

Factor the perfect trinomial square into

(

x

−

3

)

2

.

(

x

−

3

)

2

=

−

16

Solve the e

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for