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Z to the 2nd power- 9z + 20=

2007-06-23 15:50:58 · 8 answers · asked by Cari Y 1 in Science & Mathematics Mathematics

8 answers

Are you supposed to factor it?

Then it's (z-4)*(z-5).

I did the factoring by finding two numbers whose sum is 9 and whose product is 20. Trying various factors of 20 is the easiest way: 10+2=12, 4+5=9.

2007-06-23 15:54:22 · answer #1 · answered by McFate 7 · 1 0

z = 4 or z = 5

2007-06-23 15:55:40 · answer #2 · answered by Anonymous · 0 1

z^2 - 9z +20

step 1 ----->>(z )(z )
* since z is cubed(raised to the 2nd power) split it up and put each one into parenthesis. (like shown above)
step 2 ----->>(z - 4) (z - 5)
* Look a the numbers (-9) and 20 what numbers will add together to equal (-9) and multiply to make 20?
(-4) + (-5) = (-9) ..... and (-4) * (-5) = (+20)

so, z^2 -9z + 20 = (z-4)(z-5)
If you don't get it, you should ask your teacher.

2007-06-23 16:10:39 · answer #3 · answered by Allie 4 · 1 0

okay this is basically trying to break down the equation into a simpler form the answer can be found by guessing and checking. The simplified form of the equation turns out to be

(z-4)(z-5)
or
(z-4) x (z-5)

if you use FOIL the answer turns out to be z squared minus 9z plus 20

:)

2007-06-23 15:57:08 · answer #4 · answered by keyblademasterzb 3 · 1 0

z^2 - 9z + 20

To factor these quadratics,
1) Look at the middle term (in this case, it's -9)
2) Look at the third term, the one without an x (in this case, it's 20).

This is going to factor in this way:

(z + ?)(z + ?)

Where you fill in the question marks.

You have to ask yourself: What two numbers multiply to make +20 and add to make -9? The answer to that is -4 and -5, so that's what goes in the question marks.

(z - 4)(z - 5)

2007-06-23 15:55:00 · answer #5 · answered by Puggy 7 · 0 1

(z-4)(z-5)
z = 4 or 5

2007-06-23 15:56:40 · answer #6 · answered by klynnr_1981 4 · 0 0

z^2-9z+20=0
(z-4) * (z -5) = 0
z-4 = 0
z-5 = 0

therefore z = 4 or 5.

2007-06-23 15:55:50 · answer #7 · answered by lilfry14 3 · 0 1

(z-4)*(z-5)

2007-06-23 15:56:41 · answer #8 · answered by skytzo ! 3 · 0 0

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