6 to both sides. (check picture)...

Questions

autumnmarfori @autumnmarfori

October 2022 1 222 Report

pa explain pu kung pano yung add -k² and -12k to both sides at yung multiply - 1/6 to both sides. (check picture)

Answers & Comments

PepperTank

Answer:

$-k^2$ and $-12k$ is added to both sides because we want to have all the terms with $k$ on the left side of the equation. $-\frac{1}{16}$ is multiplied because it is just the same as dividing by $-16$ .

Step-by-step explanation:

Starting from $k^{2} -4k+13=k^2+12k+37$ :

In any equation, we can remove equal terms on both sides. We can apply this to the equation above. In the equation above, the equal terms are $>. We can remove <img src=$ by adding $-k^2$ to both sides (left and right sides).

The equation is now: $k^2-k^2-4k+13=k^2-k^2+12k+37$ . Since $k^2-k^2 = 0$ , the equation becomes $-4k+13=12k+37$ .

Then, to solve for $k$ , we can move all the terms that has $k$ to the left side, and move everything else to the right side. In $-4k+13=12k+37$ , we can see that $-4k$ is already at the left side, and we only need to move $12k$ to the left side. We do this by moving $12k$ from the right side to the left side, but we have to change the sign from + (positive) to - (negative). This is a rule whenever we move terms to different sides. Moving $12k$ is the same as adding $-12k$ to both sides. When we do this, we get:

$-4k-12k+13=12k-12k+37$

$-16k+13=37$

Then we move the constant $13$ to the right side, by moving $13$ and changing the sign so that it becomes $-13$ . This is the same as The equation becomes $-16k=24$ .

To solve for $k$ , we need to divide both sides by $-16$ . This is because $-16$ is multiplied to $k$ , and to remove $-16$ , we do the opposite of multiplication: division.

Remember that dividing something by a number is the same as multiplying that something by 1 over the number. This is why the explanation says: multiply $-\frac{1}{16}$ to both sides, which is the same as dividing by $-16$ .