((t^2-16t)/14)-(9t/7)=1

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Solution for ((t^2-16t)/14)-(9t/7)=1 equation:


t in (-oo:+oo)

(t^2-(16*t))/14-((9*t)/7) = 1 // - 1

(t^2-(16*t))/14-((9*t)/7)-1 = 0

(t^2-16*t)/14+(-9/7)*t-1 = 0

(t^2-16*t)/14+(-9*t)/7-1 = 0

(7*(t^2-16*t))/(7*14)+(-9*14*t)/(7*14)+(-1*7*14)/(7*14) = 0

7*(t^2-16*t)-9*14*t-1*7*14 = 0

7*t^2-238*t-98 = 0

7*t^2-238*t-98 = 0

7*(t^2-34*t-14) = 0

t^2-34*t-14 = 0

DELTA = (-34)^2-(-14*1*4)

DELTA = 1212

DELTA > 0

t = (1212^(1/2)+34)/(1*2) or t = (34-1212^(1/2))/(1*2)

t = (2*303^(1/2)+34)/2 or t = (34-2*303^(1/2))/2

7*(t-((34-2*303^(1/2))/2))*(t-((2*303^(1/2)+34)/2)) = 0

(7*(t-((34-2*303^(1/2))/2))*(t-((2*303^(1/2)+34)/2)))/(7*14) = 0

(7*(t-((34-2*303^(1/2))/2))*(t-((2*303^(1/2)+34)/2)))/(7*14) = 0 // * 7*14

7*(t-((34-2*303^(1/2))/2))*(t-((2*303^(1/2)+34)/2)) = 0

( 7 )

7 = 0

t belongs to the empty set

( t-((2*303^(1/2)+34)/2) )

t-((2*303^(1/2)+34)/2) = 0 // + (2*303^(1/2)+34)/2

t = (2*303^(1/2)+34)/2

( t-((34-2*303^(1/2))/2) )

t-((34-2*303^(1/2))/2) = 0 // + (34-2*303^(1/2))/2

t = (34-2*303^(1/2))/2

t in { (2*303^(1/2)+34)/2, (34-2*303^(1/2))/2 }

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