x(27-x)=182 solve using factorization method

asked by guest
on Nov 16, 2024 at 10:26 am



You asked:

Solve the equation x(27x)=182x\left( 27 - x \right) = 182 by factoring.

MathBot Answer:

x(27x)=182x \left(27 - x\right) = 1820=x(27x)182=(x14)(x13)\begin{aligned}0 &= x \left(27 - x\right) - 182\\&= - \left(x - 14\right) \left(x - 13\right)\end{aligned}x{13,14}x \in \left\{13, 14\right\}