Skycecream1
Skycecream1 Skycecream1
  • 23-04-2020
  • Mathematics
contestada

what are the roots for 3(x+5)^2=27

Respuesta :

TheUnknownScientist
TheUnknownScientist TheUnknownScientist
  • 23-04-2020

Answer:

[tex]x = - 2 \: \: \: \: or \: \: \: \: x = - 8[/tex]

Step-by-step explanation:

[tex]3( {x + 5)}^{2} = 27 \\ \\ {(x + 5)}^{2} = \frac{27}{3} \\ \\ {x}^{2} + 10x + 25 = 9 \\ {x}^{2} + 10x + 25 - 9 = 0\\ {x}^{2} + 10x + 16 = 0 \\ x { }^{2} + 8x + 2x + 16 = 0 \\ x(x + 8) + 2(x + 8) = 0 \\ (x + 2)(x + 8) = 0 \\ x + 2 = 0 \: \: \: \: or \: \: \: \: x + 8 = 0 \\ x = - 2 \: \: \: \: \: or \: \: \: \: \: x = - 8[/tex]

Thus, the roots for 3(x+5)^2=27 is x = -2 or x = -8

Answer Link

Otras preguntas

Evaluate for a: 69 = 13 - 7/12a
on average, what percentage of the food we eat on a daily basis comes from carbohydrates?
eyn-ycgj-saw everyone is allowed here
Help please3. A line passes through the points -6,-8 and -3,-7. What is the equation of the line in slope intercept form? A. Y = 3x - 6B. Y = 1/3x + 6C. Y = 1/3
What’s the product of this
How did Roger Sherman influence the creation of the Constitution? He created the Great Compromise. He introduced the New Jersey Plan. He was chosen to lead t
What is a small description of a atom
can someone give me a full explanation on how to do this? thank you have a great day !​
A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false
What is the infinitive or infinitive phrase in "I had always enjoyed swimming, but after that day I never even went to swim in a pool."