Monday

July 28, 2014

July 28, 2014

Posted by **jasmine20** on Sunday, April 15, 2007 at 4:46pm.

is there a formula for this?

Problem #15

Find the constant term that should be added to make the following expression a perfect square trinomial.

x^2+7x

square a few binomials and see if you can see a pattern

e.g. (x+3)^2 = x^2 + 6x + 9

(x-7)^2 = x^2 - 14x + 49

notice the coefficient of the middle term is twice the square root of the last term

so you have to reverse the pattern

take 1/2 of the middle term number, then square it.

for your e.g.

x^2 + 7x + ???

1/2 of 7 is 7/2, which when squared is 49/4

so

x^2 + 7x

=x^2 + 7x + 49/4 - 49/4

=(x+7/2)^2 - 49/4

I added and subtracted the same number to maintain the "equality"

I assume you are learning the method of completing the square.

i am lost?

**Related Questions**

Math - Find the constant term that should be added to make the following ...

math,correction - is this correct Find the constant term that should be added to...

Algebra - x^2+7x Which constant should be added to make this expression a ...

math - Each of the following pairs of terms is the middle term and last term of ...

probability - The random variables X and Y have the joint PMF pX,Y(x,y)={c⋅...

math - 1. Use the given arithmetic sequence to answer the following problems. ...

Math binomial formula and sequence - a) use the binomial formula to find the 5th...

Math - Use the quadratic formula to solve each of the following quadratic ...

find polynomial - zeros are i and (1+i) degree of the polynomial 4 constant term...

algebra - Could someone check my work; 1. Generate the first five terms in the ...