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If `(7+4sqrt(3))^(x^(2-8))+(7-4sqrt(3))^(x^(2-8))=14, then x=` |
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Answer» Correct Answer - 6 Sum of solutions ……….. Take `(7+4sqrt(3))^(x^(2)-4x+3)=t` `(7+4sqrt(3))^(x^(2)-4x+3)=t` thus, equastion becomes `t+(1)/(t)=14, t^(2)-14t+1=0` `t = (14+-8sqrt(3))/(2) = 7 +-4sqrt(3)` thus `x^(2)-4x+3=1, -1 implies x = 2,2 +- sqrt(2)` |
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