SOLUTION: It is possible for a quadratic equation to have no real-number solutions. Solve t2 + 10 = 6t

Question 387322: It is possible for a quadratic equation to have no real-number solutions.
Solve
t2 + 10 = 6t
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract 6t from both sides.

Rearrange the terms.

Notice that the quadratic is 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

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Break up the fraction for each case.

or Reduce.

So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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