Final answer:
The original equation 79t=14 is a linear equation that can be solved by dividing both sides by 79 to isolate t. Solving for t in a quadratic equation like t² + 10t - 2000 = 0 requires using the quadratic formula with coefficients a, b, and c.
Step-by-step explanation:
Solving a Quadratic Equation
To solve the equation 79t=14, we simply need to isolate t by dividing both sides of the equation by 79:
t = 14 / 79
The solution to this equation is a single value for t.
However, if we look at the provided examples where we have a quadratic equation of the form t² + 10t - 2000, the first step is to ensure the equation is equal to zero:
t² + 10t - 2000 = 0
Then, we apply the quadratic formula to find the values of t. This formula is:
t = (-b ± √(b²-4ac)) / (2a)
Where a, b, and c are the coefficients of the equation at² + bt + c = 0. In our example a=1, b=10, and c=-2000.
Finding the Roots
Using the values of a, b, and c, we can find two solutions for t which are the roots of the quadratic equation.