SOLUTION: Solve the equation. {{{3(n-1)^2+20=19(n-1)}}}

Question 45774: Solve the equation.

Answer by atif.muhammad(135) (Show Source): You can put this solution on YOUR website!
3(n-1)^2+20=19(n-1)
3(n-1)^2+20=19n-19
3(n^2 - 2n + 1) +20 = 19n - 19
3n^2 - 6n + 3 + 20 = 19n - 19
3n^2 - 25n + 42 = 0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=121 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, 2.33333333333333. Here's your graph:

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