Question

help?please...
x^2-9x=0

Answer 1

we can factor out the GCF x to get

x^2 - 9x = 0

x*(x - 9) = 0

Answer 2

from there, we use the zero product property to go from

x*(x - 9) = 0

to

x = 0 or x-9 = 0

the last step is to solve each equation for x. The first one is already done, so just solve x-9=0 for x to get x = 9


That means the two solutions are x = 0 or x = 9

Answer 3

It's always a good idea to check your solutions


Check x = 0

x^2 - 9x = 0

0^2 - 9*0 = 0 ... replace every x with 0

0 - 0 = 0

0 = 0 ... works

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checking x = 9

x^2 - 9x = 0

9^2 - 9*9 = 0 ... replace every x with 9

81 - 81 = 0

0 = 0 ... works

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So both solutions have been confirmed

Answer 4

it is actually \[x ^{3}-9x=0\]

Answer 5

so you'd have x(x^2 - 9) = 0 when you factor out the GCF x

Answer 6

what do you get when you factor x^2 - 9 ?

Answer 7

(x+3)(x-3)?

Answer 8

nevermind i got it solved it like you did up there^ thanks!

Answer 9

correct and you're welcome