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Question Number 189208 by mathlove last updated on 13/Mar/23

Answered by MJS_new last updated on 13/Mar/23

$$\mathrm{easy}\mathrm{to}\mathrm{see}$$$$9+2=11$$$$3+4=7$$$$x=9\wedge y=4$$

Commented by mathlove last updated on 13/Mar/23

$$solveit???$$

Commented by MJS_new last updated on 13/Mar/23

$$\mathrm{another}\mathrm{exampke}:$$$$\mathrm{solve}3+x=5:$$$$3=1+1+1$$$$5=1+1+1+1+1$$$$\mathrm{how}\mathrm{many}1\mathrm{s}\mathrm{must}\mathrm{we}\mathrm{add}\mathrm{to}\mathrm{get}\mathrm{from}3\mathrm{to}5?$$$$1+1+1+1+1=1+1+1+1+1$$$$1+1=2$$$$\mathrm{the}\mathrm{answer}\mathrm{is}$$$$3+2=5$$$$\Rightarrow x=2$$$$\mathrm{now}\mathrm{try}\mathrm{to}\mathrm{solve}\mathrm{your}\mathrm{question}$$

Answered by manxsol last updated on 13/Mar/23

$$x<11y<7$$$$x=a^{2}y=b^2$$$$a^2+b=11$$$$a+b^2=7$$$${(7-b^2)}^2+b=11$$$$49+b^4-14b^2=11$$$$b^4-14b^2+b+38=0$$$$10-14138$$$$224-20-38$$$$12-10-190$$$$b_1=2a_1^2=11-2=9$$$$b_2=3.13a_2^2=11-3.13=7.87$$$$b_3=-1.84a_3^2=11+1.84=12.84$$$$b_4=-3.28a_4^2=3.77+3.28=7.05$$$$x_1=a_1^2=9$$$$y_1=b_1^2=4$$$$-----$$$$x_2=7.87$$$$y_2=9.13y<7\times$$$$------)))$$$$x_3=12.8x<11\times$$$$-------$$$$x_4=7.05$$$$y_4=10.75y<7\times$$$$$$

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