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Ludmilka [50]
3 years ago
12

What is the positive solution of x2 – 36 = 5x?

Mathematics
2 answers:
german3 years ago
8 0
First you would subtract 5x on each side. After that it should look like this:
x2+5x-36=0
Then you factor. You try to find factors of -36 and 5. Once you get that, you would split the two factors up into parenthesis with x. Example: (x-5)(x-4)=0
Then you would put both at 0 and solve from there to get your final answer I know I didn't give you the answer but I hope my explanation helped. :)
Ira Lisetskai [31]3 years ago
6 0

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

x^2-36=5x

we have to find the positive solution of above equation.

Equation: x^2-5x-36=0

By splitting middle-term method

x^2-5x-36=0

x^2-9x+4x-36=0

x(x-9)+4(x-9)=0

(x+4)(x-9)=0

x+4=0, x-9=0

The solution is x=-4 and x=9

Hence, the positive solution is x=9

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the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
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divide by w
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we add sin(wt) to both sides

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divide both sides by cos(wt)
\frac{sin(wt)}{cos(wt)}= \sqrt{8}   \\  \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\  \\ wt=arctan(2 \sqrt{2)} OR\\ wt=arctan( { \frac{1}{ \sqrt{2} } )
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substituting our second soultion we get
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so the maximum value =\frac{1}{3}
minimum value =- \frac{1}{3}


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