Determine which equation has the same solutions as the given equation
2x^2 - 12x - 50 = 0
a. (x-3)^2 = 16
b. (x - 6)^2 = 19
c. (x - 6)^2 = 31
d. (x - 3)^2 = 34

Step-by-step explanation:

here is the answer ....feel free to ask if u don't get it

D.

Step-by-step explanation:

Its looks like they have complete the square for the given equation.

So let's do that.

I see all of my terms are even so I can easily divide each of them by 2.

I'm going to divide both sides by 2:

The first step in completing the square is to make sure the coefficient of is 1 so we can use this easy formula:

.

So I see in place of k I have -6.

I'm going to add on both sides.

See these first three terms here can be written using the mentioned formula:

Let's simplify a bit:

Add 25 on both sides:

45

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.