Harzell2010 Harzell2010
  • 10-08-2017
  • Mathematics
contestada

The square of 9 less than a number is 3 less than the number. What is the number?

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 10-08-2017
(x-9)²=-3+x
expand
x²-18x+81=-3+x
minus x both sides and add 3
x²-19x+84=0
factor
what 2 numbers multiply to get 84 and add to get -19?
-7 and -12
(x-7)(x-12)=0

set equal to 0

x-7=0
x=7

x-12=0
x=12

the number is 7 or 12
both work
Answer Link

Otras preguntas

En el 4 de julio se celebra en estados unidos con ___________. a.fuegos artificiales (fireworks). b.baile. c.trabajo. d.estudio.
Consider the line y = 5/6 x + 4 Find the equation of the line that is parallel to this line and passes through the point −6,5 Find the equation of the line
16 4 12 36 9 27 44 11 __
Drake's yard measures 24 ft by 30 ft. His garden, which is part of the yard, measures 36 inches by 108 inches. What is the area of the yard, not including the g
Convert the rate 1000 fluid ounces per 2 hours to cups per minute
what is bigger 4 out of 5 or 0.325
what does ^ this stand for
the sum of three consecutive integers is -78. determine the smallest integer.
Which conclusion completes the syllogism? premise 1: if an angle is bisected, then the two resulting angles will be congruent. premise 2: if the two resulting a
In a human body, which of the following represents the highest level of structural organization? A An atom in the lung. B Lung tissue C The lungs D The resp
good job