Exercise
$57=\left(n+2\right).\left(n+1\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation 57=(n+2)(n+1). Multiplying polynomials n+2 and n+1. Multiply the single term n by each term of the polynomial \left(n+2\right). Combining like terms 2n and n. Group the terms of the equation by moving the terms that have the variable n to the left side, and those that do not have it to the right side.
Solve the quadratic equation 57=(n+2)(n+1)
Final answer to the exercise
$n=\frac{-3+\sqrt{229}}{2},\:n=\frac{-3-\sqrt{229}}{2}$