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1 year ago

Solve for z: -42z^2 = 14z

Mathematics

2 answers:

schepotkina [342]1 year ago

4 0

$\\ \rm\Rrightarrow -42z^2=14z$

$\\ \rm\Rrightarrow 42z^2=-14z$

$\\ \rm\Rrightarrow 3z^2=-z$

$\\ \rm\Rrightarrow 3z=-1$

$\\ \rm\Rrightarrow z=-1/3$

Another root is 0

Fiesta28 [93]1 year ago

4 0

Answer:

$- \frac{844}{29} z$

Step-by-step explanation:

I hope to help

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3 years ago

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noname [10]

Multiply everything in the parenthesis by a.

ac + ab = d

Subtract ab from both sides.

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Divide a on both sides.

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Hope this helps!

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3 years ago

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masha68 [24]

Hello,

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2 years ago

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lana66690 [7]

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2 years ago

The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

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3 years ago