SOLUTION: 7-1/t=6/t^2

Question 146499: 7-1/t=6/t^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply every term by the LCD

Multiply and simplify.

Subtract 6 from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for t

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So our answers are or

RELATED QUESTIONS
-6(t-7)-(t+1)=5 (answered by ReadingBoosters)

7/t + 2/t... (answered by palanisamy)

2/t+6=3/t-1 (answered by algebrahouse.com)

(t-1)/3=(t+2)/6+2. What is... (answered by stanbon,mananth)

what is t -2 + 1/6t = -7/4 I got t=6/4 or... (answered by josmiceli)

t+t/2=6 (answered by Alan3354)

t-1/t+4 = t-7/t+5 +... (answered by Fombitz)

Solve... (answered by Fombitz)

t-7=3... (answered by stanbon)