Write the quadratic equation in standard form.

(x - 3)^2 = 0

x^2 + 9 = 0
x^2 + 6x + 9 = 0
x^2 - 6x + 9 = 0

Question

Write the quadratic equation in standard form.

(x - 3)^2 = 0

x^2 + 9 = 0
x^2 + 6x + 9 = 0
x^2 - 6x + 9 = 0

Hero · Answer

@Secret you were given $(x - 3)^2 = 0$ and asked to write the equation in standard form. Any ideas on how we might get started with doing so?

Flamo · Answer

Multiply (x - 3) by Its self? So It would be x^2 + 9 = 0?

Secret · Answer

Ye?

Hero · Answer

Actually, that is not correct. The proper way to get started with this is to multiply the binomials. Understand that if you are given a binomial square such as $(x - a)^2$, that expression can be expanded to $(x - a)(x - a)$. From there you can use the distributive property to expand the expression then simply it until you have a quadratic expression.

Hero · Answer

simplify*

Secret · Answer

Ohhh

Flamo · Answer

Oh, I see

Secret · Answer

Now what?

Hero · Answer

You re-write the equation to reflect the above information. Can you try doing that here @Secret?

Secret · Answer

(x - 3)^2 = 0

(x - 3)(x - 3) = 0

Like that??

Hero · Answer

Yes correct. Now the next step would be to actually multiply the binomials.

Hero · Answer

Would you like to try @Secret?

Secret · Answer

(x - 3)(x - 3) = 0

x^2 - 3x -3x + 6

Like this?

Hero · Answer

Question. How did you end up with 6 as the last term? Did you add or multiply to get that?

Secret · Answer

i added....was i supposed to multiply?

Hero · Answer

Yes.

Secret · Answer

Oops...then it would be this:

x^2 - 3x -3x + 9

Right?

Hero · Answer

Yes, but the expression can be simplified further no?

Secret · Answer

...idk

Hero · Answer

Do you see any like terms in that expression?

Bob · Answer

or add like terms or subtract them or what

Secret · Answer

yes, there is -3x

Hero · Answer

Okay, so that means -3x can be combined with -3x.

Secret · Answer

So i should add them?

Hero · Answer

Yes, correct. Go ahead and add them

Secret · Answer

So it would be:

x^2 - 6x + 9

Right?

Hero · Answer

Correct.

Hero · Answer

So which answer choice is correct?

Secret · Answer

The last one! Thx

Hero · Answer

You're most welcome. If you have any more questions, feel free to close this one and post a new question.

Secret · Answer

^-^
Ok
Thank you