Solve each equation. n2−13n+36=0

Question

Tuthornt · Accepted Answer

Step 1
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
Step 2
The given equation is $n^{2} - 13 n + 36 = 0$ . Simplify the equation and write it in factored form by taking the common terms out and then find solution for the variable n as follows;
$n^{2} - 13 n + 36 = 0$
$n^{2} - 4 n - 9 n + 36 = 0$
$n (n - 9) - 9 (n - 4) = 0$ ................... Take the common terms out.
$(n - 9) (n - 4) = 0$ .................... Factored the factors.
$(n - 9) = 0 or (n - 4) = 0$ ............ Seperate the factors.
$n = 9 or n = 4$
Hence, the solution for the given equation $n^{2} - 13 n + 36 = 0 i s n = 4$ or 9.

Solve each equation. n^{2}-13n+36=0

Answered question

Answer & Explanation

New Questions in Pre-Algebra