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

12 to Write the equation of the plane passing through the points M(1, 2, 0) and N(2, 1, 1) parallel to the vector
Which of the following is a major difference between lactic acid and alcohol fermentation? Alcohol fermentation releases carbon dioxide, while lactic acid ferme
Between 1500 and 1750, which commercial products were produced on Latin American plantations using enslaved laborers? (1) corn and squash (3) sugar and tobacco
the table shows the cost of a large cheese pizza with toppings at a local pizzeria. Graph the data, and find the slope and y-intercept from the graph. The write
how many times greater is the value of the 4 in 640,700 than the value of the 4 in 67,040
how would you write the number 421.5 in expanded form
why is there stuff? this is a science question?
Four friends go out to lunch and decide to split the bill evenly. The bill comes to $46.64. How much does each person owe?
The first battle of the Spanish-American War was fought in Havana, Cuba the Philippines Miami, Florida Puerto Rico
What were Louis Pasteur's experiments related to spontaneous generation?