Question #261012

Given that 𝑇 = 3√ 32𝑐4−𝑞 /2 . Show that 𝑐 = 1/2 4√2𝑇3 + 𝑞   


1
Expert's answer
2021-11-04T20:09:15-0400

𝑇=32𝑐4−𝑞32𝑇 = \frac{\sqrt[3]{32𝑐^4−𝑞 }}{2}


2×T=32𝑐4−q32×T=\sqrt[3]{32𝑐^4-q}


23×T3=32𝑐4−q2^3×T^3={32𝑐^4-q}


8T3=32𝑐4−q8T^3={32𝑐^4-q}

8T3+q=32𝑐48T^3+q={32𝑐^4}

\sqrt[4]\frac{8T^3+q}{32}={𝑐}


c=122T3+q4c=\frac{1}{2}\sqrt[4]{2T^3+q}



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