notsubzeros9273 notsubzeros9273
  • 21-07-2021
  • Mathematics
contestada

Solve for x, where x > 0 and 84x(x + 2) = 90-13x. Express your answer as a simplified common fraction.

Respuesta :

Аноним Аноним
  • 21-07-2021

84x(x+2) = 84x² + 168x

84x² + 168x = 90 - 13x

84x² +181x - 90 = 0

bhaskara formula

[tex]\frac{-181+-\sqrt{181^{2}- 4.84.(-90) } }{168 } }[/tex]

[tex]\frac{-181+-\sqrt{32.761 +30.240} }{168}[/tex]

[tex]\frac{-181+-251}{168}[/tex]

since its a positive number, we can't use the minus

so, [tex]\frac{70}{168}[/tex]

they're both dividable by 14, so

x = [tex]\frac{5}{12}[/tex] is your answer

hope it helps :)

Answer Link

Otras preguntas

Mera painted equal sections of her bedroom wall to make a pattern. She painted 2/5 of the wall white and 1/2 of the wall lavender. Write an equivalent fraction
A building with a height of 40 ft casts a shadow that is 16ft long. A person standing next to the building casts a shadow that is 2ft long. How tall is the pers
What is the matrizie of {3x-2y=-27 {x+3y=13
why do sharks not have swim bladder
what is the meaning of when the ruler behaves himself correctly, the people will also
Todd is using the benchmark 1/2 to compare fractions. Which statement is not correct. A 5/6 less than a 1/2
Explain why cells don't just continue to grow larger as organisms grow larger.
Explain why cells don't just continue to grow larger as organisms grow larger.
Is 6/5 greater or less than 3/3
A building with a height of 40 ft casts a shadow that is 16ft long. A person standing next to the building casts a shadow that is 2ft long. How tall is the pers