How Do I Solve This Complex Square Root Equation?

AI Thread Summary
To solve the complex square root equation n_{0}=1.5*10^{15}+\sqrt{(1.5*10^{15})^{2}+[(0.05)n_{0}]^{2}}, isolate the square root on one side and then square both sides. This leads to the equation [n0-(1.5*10^{15})]²=(1.5*10^{15})²+0.0025n0². After simplifying and rearranging, the solution for n0 can be found. The final answer is n0=3.0075*10^{15}. Properly applying these algebraic steps will yield the correct result.
snoothie
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Homework Statement



Can someone advice me how to solve this square root equation?
n_{0}=1.5*10^{15}+\sqrt{(1.5*10^{15})^{2}+[(0.05)n_{0}]^{2}}

The answer should be n0=3.0075*1015

I can't figure out how to open up the square root to solve the equation for n0.
Stuck here staring at the equation...
 
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snoothie said:

Homework Statement



Can someone advice me how to solve this square root equation?
n_{0}=1.5*10^{15}+\sqrt{(1.5*10^{15})^{2}+[(0.05)n_{0}]^{2}}

The answer should be n0=3.0075*1015

I can't figure out how to open up the square root to solve the equation for n0.
Stuck here staring at the equation...

Isolate the square root on one side of the equals sign, then square both sides.
 


solved. but must take note to make the equation:

[n0-(1.5*1015)]2=(1.5*1015)2+0.0025n02

Thanks and cheers
 
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