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Solve the following equations : i) x^(4)-5x^(2)+6=0 ii) x^(2//3)+x^(1//3)-2=0 iii) 7^(1-x)+7^(1+x)=50 iv) sqrt((3x0/(x+1))+sqrt((x+1)/(3x))=2, when x != 0, -5 v) sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6), x!=0, x!=1 vi) 2(x+(1)/(x))^(2)-7(x+(1)/(x))+5=0, x != 0 vii) (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0, x != 0 viii) (x+1)(x+2)(x+3)(x+4)=120 ix) 2x^(4)+x^(3)-11x^(2)+x+2=0

Answer»


Answer :i) `+-SQRT2, +-sqrt3` ii) -8, 1 iii) -1, 1 iv) {`1//2`} V) `(4)/(13), (9)/(13)` vi) `(1)/(2), 2, (1+- i sqrt3)/(2)` vii) `(1+- i sqrt3)/(2), 2+-sqrt3` viii) `(-5+- i SQRT(39))/(2)`, -6, 1 ix) `{(-3 +- sqrt5)/(2), (1)/(2), 2}`


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