17x-5x

^{2}

- Thread starter DMurphy33
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17x-5x

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Do you mean lassies in this group are not invited to answer your query??

17x-5x^{2}

My friend, the lassies are the legends.Do you mean lassies in this group are not invited to answer your query??

Sincerely, a girl attending a girls only secondary school

- Joined
- Jun 18, 2007

- Messages
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You did not pose a question yet - just wrote a function of 'x'!!

17x-5x^{2}

What do you need to answer from that function?

\(\displaystyle g(x) * h(x) = 0 \implies g(x) = 0 \ne h(x) \text { or } h(x) = 0 \ne g(x) \text { or } g(x) = 0 = h(x).\)

This is called the zero-product property. Therefore

\(\displaystyle 17x - 5x^2 = 0 \implies x(17 - 5x) = 0 \implies\)

\(\displaystyle x = 0 \text { or } 17 - 5x = 0 \implies x = 0 \text { or } 5x = 17 \implies\)

\(\displaystyle x = 0 \text { or } x = \dfrac{17}{5}.\)