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1-(1/2*w1)^2/(w1+w2+w3+w4+w5)^2-1.34 /w1=0

1-(w1+1/2*w2)^2/(w1+w2+w3+w4+w5)^2-1.34 /w2=0

1-(w1+w2+1/2*w3)^2/(w1+w2+w3+w4+w5)^2-1.34 /w3=0

1-(w1+w2+w3+1/2*w4)^2/(w1+w2+w3+w4+w5)^2-1.34 /w4=0

1-(w1+w2+w3+w4+1/2*w5)^2/(w1+w2+w3+w4+w5)^2-1.34 /w5=0

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syms w1 w2 w3 w4 w5;

eq1=1-(1/2*w1)^2/(w1+w2+w3+w4+w5)^2-1.34 /w1;

eq2=1-(w1+1/2*w2)^2/(w1+w2+w3+w4+w5)^2-1.34 /w2;

eq3=1-(w1+w2+1/2*w3)^2/(w1+w2+w3+w4+w5)^2-1.34 /w3;

eq4=1-(w1+w2+w3+1/2*w4)^2/(w1+w2+w3+w4+w5)^2-1.34 /w4;

eq5=1-(w1+w2+w3+w4+1/2*w5)^2/(w1+w2+w3+w4+w5)^2-1.34 /w5;

[w1 w2 w3 w4 w5]=solve(eq1, eq2, eq3, eq4, eq5)



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w3: 9.43746865097371
w4: -7.37476184493982
w5: 3.12888243346332

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