To calculate: Thesolution set of the equation 6t\left(21 + 1\right)

korporasidn

korporasidn

Answered question

2021-11-12

To calculate: Thesolution set of the equation 6t(21+1)=55t.

Answer & Explanation

Salvador Fry

Salvador Fry

Beginner2021-11-13Added 12 answers

Consider the provided equation,
6t(2t+1)=55t
Now, apply the distributive property and solve,
6t(2t+1)=55t
12t2+6t=55t
12t2+6t+5=5t
12t2+11t=5
Now, solve the above equation by completing the square,
12t2+11t=5
t2+1112t=512
t2+1112t+(1124)2=512+(1124)2
(t+1124)2=512+121576
Further simplify the above equation,
(t+1124)2=512+121576
(t+1124)2=240576+121576
(t+1124)2=361576
Now, apply the square root property in the above equation;
(t+1124)2=361576
t+1124=±361576
t+1124=±1924
t=1124±1924
Therefore t=1124+1924 and t=11241924
That is, t=13 and t=54
Check:
Now, substitute value of t=13 in the provided equation 6t(2t+1)=55t.
6t(2t+1)55t
6(13)(2x13+1)55(13)
2(23+1)553

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