What number should be added to both sides of the equation to complete the squa
x2 - 10x = 7

Given:

The equation is:

To find:

The number that should be added to sides of the equation to complete the square.

Solution:

If an expression is in the form of , then we have to add to make it perfect square.

We have,

            ...(i)

To make it perfect square we need to add square of half of coefficient of x on both sides.

Coefficient of x is -10, so square of half of coefficient of x is:

On adding 25 on both sides of (i), we get

Therefore, we need to add 25 to both sides of the equation to complete the square.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

one set of data has more variation than the other. hope this !