solve z^2 - 3z = 54 by factoring

Re: solve by factoring

z23z54=0\displaystyle z^{2}-3z-54=0

What two numbers when added equal -3 and when multiplied equal -54?.

Find those and you have it.
 
Re: solve by factoring

jmarino5892 said:
can you help with this
z^2-3z=54

Or use solution to quadratic equation:

Ax2+Bx+C=A(xx1)(xx2)\displaystyle A\cdot x^2 \, + \, B\cdot x \, + \, C \, = \, A\cdot (x \, - \, x_1)\cdot(x \, - \, x_2)

where

x1,2=B±B24AC2A\displaystyle x_{1,2} \, = \, \frac{-B \pm \sqrt{B^2 \, - \, 4AC}}{2A}
 
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