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x^0,5+x²=17

 18.04.2017
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x0.5+x2=17x0.5+(x0.5)4=17lett=x0.5t+t4=17t4+t17=0

 

This has at most 4 real answers.

If I graph y=x4+x17

and see where it crosses the x axis that will be the solutions.

So t might equal 1.969   or   -2.09

t=x0.5t2=xIft=1.969,x=3.877LHS=3.8770.5+3.8772=21.2RHS Ift=2.09,x=4.368LHS=4.3680.5+4.3682=17=RHS 

So I get   x= 3.877      Correct to 3 decimal places

 

I am going to enter this into WolframAlpha to see if our answers are the same.

 

https://www.wolframalpha.com/input/?i=x%5E+0.5+%2B+x%5E2+%3D+17

Our answers are the same.

 

 

 

 

 19.04.2017

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