Wednesday

March 4, 2015

March 4, 2015

Posted by **dan** on Sunday, April 25, 2010 at 2:58pm.

x^2 - 12x + ---- = (x - -----)^2

- algebra -
**Mike**, Sunday, April 25, 2010 at 3:42pmThe first blank will have a 36 in it. The second blank will have 6 in it.

When you complete the square in this format, take half of the number in front of x, (called coefficient), and square it. So, in your case, the number in front of x is -12. If I take half of it, it is -6. Then, if I square it, the final result is +36. That goes in the first blank completing the trinomial on the left --> x^2 - 12x + 36

Now, the squared binomial on the right will use the half of the coefficient value. Thus, (x-6)^2 is the final answer on the right.

If you want to check your result, take the (x-6)^2 binomial, and rewrite it as a repeated factor: (x-6)(x-6). Perform FOIL, and you should get x^2 - 12x + 36.

WARNING: Completing the Square only works when the coefficient of the x^2 term is ONE!

Hope this helps!

- algebra -
**dan**, Sunday, April 25, 2010 at 4:59pmYes you helped me a lot. Thank you for showing me in steps how to solve this question

- algebra 1 -
**nolan**, Sunday, May 23, 2010 at 8:02pmx^2-18x+___=( )^2

**Answer this Question**

**Related Questions**

Algebra - Which of the following statements is true? A. Any quadratic equation ...

Algebra 2 -Conics - The directions are : Write each equation in standard form (...

algebra 2 - Samantha needs to solve the equation x2 - 12x = 40. What must she do...

algebra 2 - Samantha needs to solve the equation x2 - 12x = 40. What must she do...

Pre-Cal - Christian is solving the equation x2 – 12x = 4 by completing the ...

algebra - Replace each equation with constants to complete the square and form a...

Algebra - To solve 9x^2-12x+4=49 by using the Square Root Property, you would ...

Math - Consider the equation x^2 + 20 = 12x A) draw geometric diagram ...

Math check - Complete the square: x^2 -12x. Which of the following is the ...

algebra1 - Olivia is solving the equation x^2-12x=18 what should she add to both...