K²-8k+16 Solution Kailangan Ko Lang Po Hehe​

k²-8k+16 solution kailangan ko lang po hehe​

Answer:

k²-8k+16= 28

Step-by-step explanation:

Simplifying

k2 + 8k + 16 = 28

Reorder the terms:

16 + 8k + k2 = 28

Solving

16 + 8k + k2 = 28

Solving for variable ‘k’.

Reorder the terms:

16 + -28 + 8k + k2 = 28 + -28

Combine like terms: 16 + -28 = -12

-12 + 8k + k2 = 28 + -28

Combine like terms: 28 + -28 = 0

-12 + 8k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add ’12’ to each side of the equation.

-12 + 8k + 12 + k2 = 0 + 12

Reorder the terms:

-12 + 12 + 8k + k2 = 0 + 12

Combine like terms: -12 + 12 = 0

0 + 8k + k2 = 0 + 12

8k + k2 = 0 + 12

Combine like terms: 0 + 12 = 12

8k + k2 = 12

The k term is 8k. Take half its coefficient (4).

Square it (16) and add it to both sides.

Add ’16’ to each side of the equation.

8k + 16 + k2 = 12 + 16

Reorder the terms:

16 + 8k + k2 = 12 + 16

Combine like terms: 12 + 16 = 28

16 + 8k + k2 = 28

Factor a perfect square on the left side:

(k + 4)(k + 4) = 28

Calculate the square root of the right side: 5.291502622

Break this problem into two subproblems by setting

(k + 4) equal to 5.291502622 and -5.291502622.

Subproblem 1

k + 4 = 5.291502622

Simplifying

k + 4 = 5.291502622

Reorder the terms:

4 + k = 5.291502622

Solving

4 + k = 5.291502622

Solving for variable ‘k’.

Move all terms containing k to the left, all other terms to the right.

Add ‘-4’ to each side of the equation.

4 + -4 + k = 5.291502622 + -4

Combine like terms: 4 + -4 = 0

0 + k = 5.291502622 + -4

k = 5.291502622 + -4

Combine like terms: 5.291502622 + -4 = 1.291502622

k = 1.291502622

Simplifying

k = 1.291502622

Subproblem 2

k + 4 = -5.291502622

Simplifying

k + 4 = -5.291502622

Reorder the terms:

4 + k = -5.291502622

Solving

4 + k = -5.291502622

Solving for variable ‘k’.

Move all terms containing k to the left, all other terms to the right.

Add ‘-4’ to each side of the equation.

4 + -4 + k = -5.291502622 + -4

Combine like terms: 4 + -4 = 0

0 + k = -5.291502622 + -4

k = -5.291502622 + -4

Combine like terms: -5.291502622 + -4 = -9.291502622

k = -9.291502622

Simplifying

k = -9.291502622

Solution

The solution to the problem is based on the solutions

from the subproblems.

k = {1.291502622, -9.291502622}

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