anna741 anna741
  • 11-01-2021
  • Mathematics
contestada

Solve (x² - 16)(x² - 9) = 0

Respuesta :

VectorFundament120
VectorFundament120 VectorFundament120
  • 11-01-2021

Answer:

x=-4,4,-3,3

Step-by-step explanation:

Factor by the difference of two squares

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

[tex] {x}^{2} - 16 = (x + 4)(x - 4) \\ {x}^{2} - 9 = (x + 3)( x - 3)[/tex]

[tex](x + 4)(x - 4)(x + 3)(x - 3) = 0[/tex]

Therefore, our answer is x = -4,4,-3,3

Answer Link

Otras preguntas

What does the term "suffrage" mean? A) being free B) being in pain C) the right to vote D) to join the military
PLEASE HELP!!!! What is the first step towards losing weight? Select one: a. Set goals b. Take stock of where you are c. Make a commitment d. Set realistic
how do you say coffee in french
use transformations to solve this equation. -7/3n = -42
Most people have no more desire to know the life history of their hamburger than they do their leather shoes. In "A Culinary Wasteland," what argument made in F
Find an equation for the line that passes through the points (-3,-6) and (3,3)
-ir and -er ending verbs are very similar in their endings when they are conjugated how do they differ in their endings when they are conjugated?
What are the factors for the shift in service economy
Lines 1–16: In which lines does King state his purpose? What other seminal U.S. documents does King cite in his speech?
sergei caught 4 striped fish. each one weighed the same number of pounds. then he caught another fish that weighed 8 pounds. which expression represents the tot