Chika Chika
  • 16-05-2024
  • Mathematics
High School

Solve the inequality:

[tex] x^3 + 3x^2 - 16x - 48 \ \textgreater \ 0 [/tex]

Answer :

HuzaifaFaheem HuzaifaFaheem
  • 30-05-2024

Answer:

x > -4, x > -3, x > 4

Step-by-step explanation:

given inequality is:

x³ + 3x² - 16x - 48 > 0

x²(x + 3) - 16(x + 3) > 0

(x² - 16)(x + 3) > 0

(x² - 4²)(x + 3) > 0

(x - 4)(x + 4)(x + 3) > 0

as:

a² - b² = (a + b)(a - b)

i.e.

x - 4 > 0, x + 4 > 0, x + 3 > 0

x > -4, x > -3, x > 4

Answer Link

Other Questions

Find the absolute maximum and absolute minimum values of [tex]f[/tex] on the
Monica uses 3 tablespoons of milk in her custard recipe. The ratio
The formula to convert Fahrenheit to Celsius is [tex]C = \frac{5}{9}(F -
What substitution should be used to rewrite [tex]4x^4 - 21x^2 + 20
The rescuers first effort to ensure that the victim's airway is open
1. Fill in the blanks.(i) The additive inverse of 0 is ____.(ii)
Mr. Benton had better watch out for that new assistant of his.
A filter-drier on the high side of the capillary tube system should
"Musee des Beaux Arts" implies that great art makes the world seem:
On a certain vehicle, one windshield wiper is 60 cm long. If
How is the destruction of temporary objects shown on sequence diagrams? 1)
Alcohol affects which part of the IPDE process? A. Identify B. Predict
An isotope with a mass number of 193 has 116 neutrons. What
Which line from the passage best symbolizes the narrator's hope that Dee
Tariq ran a marathon, which is 26.2 miles. Before the race, he