crios9383 crios9383
  • 22-01-2021
  • Mathematics
contestada

What is the value of x in (x + 2) ^2/3= (x + 58)^1/3
given that x > 0?
X=

Respuesta :

victorcarlos346
victorcarlos346 victorcarlos346
  • 23-01-2021

Answer:

x=6

Step-by-step explanation:

[tex]\sqrt[3]{(x+2)^{2} } =\sqrt[3]{(x+58)} \\\\(\sqrt[3]{(x+2)^{2} })^{3} =(\sqrt[3]{(x+58)} )^{3} \\\\(x+2)^{2}=(x+58)\\x^{2} +4x+4=x+58\\\\x^{2} +3x-54=0[/tex]

Solving this quadratic equation:

x'=6

x''=-9

But x>0, then the solution is x=6

S={6}

Answer Link

Otras preguntas

What is the value of (20−1+52−0)−1×5?
when Jamie's car moves forward such that each tire makes one full rotation,the car has traveled 72 inches. how many full rotations will the tires need to make f
Name three foods eaten in China, that Americans might find unusual
If the earth’s average surface temperature continues to change over the next 30 years at the same rate it changed between 1980 and 2010, the average temperature
A front forms when _____. warm air begins to rise and cool two different types of air masses meet two of the same type of air masses meet cool air begins to sin
What phrase would you choose if you were contrasting two things or ideas? a. as a result b. leads to c. on the other hand d. in the meantime
A snowmobile is priced at $2,800 and is on sale for 20% off the sales tax rate is 8.25 % what is the sale price including tax
What is significant about Angela Merkel’s position as chancellor of Germany?
The phrase "mid-May" is an example of A. assonance. B. metaphor. C. consonance. D. alliteration.
name the 4 main elements that make up 95% of an organism.