mlkoolj mlkoolj
  • 02-11-2018
  • Mathematics
contestada

What substitution should be used to rewrite 4x^12-5x^6-14=0 as a quadratic equation?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 02-11-2018

let m = x^6

4m^2 -5m -14 =0

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eudora eudora
  • 19-07-2019

Answer:

K = x⁶ will be the substitution.

Step-by-step explanation:

The given equation is [tex]4x^{12}-5x^{6}-14=0[/tex]

Now we have to convert it in a quadratic equation which should be in the form of [tex]ax^{2} +bx+c=0[/tex]

We can rewrite the equation as

4(x⁶)² - 5(x⁶) - 14 = 0

Now we are clear that we have to substitute x⁶ = k to convert the equation in a quadratic equation

4K² - 5K - 14 = 0

Therefore, K = x⁶ will be the substitution.

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