daniess210 daniess210
  • 15-09-2020
  • Mathematics
contestada

use the zero product property to find the solitions to the equation(x+2)(x+3)=12.

Respuesta :

saijuchacko saijuchacko
  • 15-09-2020

Answer:

(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12  (multiply the binomials)

(x + 2) (x + 3) = x² + 5x + 6 = 12

(x + 2) (x + 3) = x² + 5x + 6-12 = 0  (add the like term and bring the positive 12 to the other side which makes it negative)

x² + 5x + 6 = 0

Using the snowflake method -  (finding the factors of 6 that adds/subtracts to give you 5).  

This method will give you the factors (x + 6)(x - 1)

ZERO PROPERTY RULE:

(x + 6) = 0

x = -6

(x - 1) = 0

x = 1

The two solutions to the equation are -6 and 1.

Answer Link

Otras preguntas

Cuneiform is a. a Sumerian form of writing b. a Persian invention c. a Lydian invention d. an Egyptian form of writing
what is 6/18 in simplest form
A recipe that makes 6 servings calls for 1/2 cup of butter. Nancy modifies the recipe so that it can serve 8 How many cups of butter does Nancy need?
Which is true of living things? a. Their chemical balances are maintained by acid-base reactions b. They are damaged when they are exposed to any kind of acid c
To increase an amount by 70% what single multiplayer would you use
some microorganisms such as yeast produce energy in oxygen free environments through what process
what is 7x7x7x7x7x7 in exponential form
what's longer east or west
how solve the equation a(n-3)+8=bn solve for n
Explain whether your breakfast was a compound, homogeneous mixture, or heterogenous mixture.