Find all solutions of the equation

Mathematics
Tutor: None Selected Time limit: 1 Day

Find all solutions of the equation. Check your solutions in the original equation. (Enter your answers as a comma-separated list.)

36t2/3 + 84t1/3 + 49 = 0
Mar 8th, 2015

36t2/3+ 84t1/3+ 49 = 0

Put t1/3  =x

36x2+84x+49=0

(6x)2+2*6x*7+72 0

(6x+7)2 =0

6x+7=0

6x = -7

x = -7/6

t1/3  = (-7/6)

t = -343/216

t = - 343/216 or - 1 127/216

Mar 8th, 2015

can you explain your answer is that 2 solutions or just one

Mar 8th, 2015

Only one solution because (6x+7)(6x+7)=0 ;

6x =-7

x= -7/6

t ^ (1/3) = (-7/6)

Cubing both sides t = (-7/6)(-7/6)(-7/6) = -343/216

Mar 8th, 2015

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