Question

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

Answer 1

K = x⁶ will be the substitution.

Explanation:

The given equation is
`4x^(12)-5x^(6)-14=0`

Now we have to convert it in a quadratic equation which should be in the form of
`ax^(2) +bx+c=0`

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.

Answer 2

let m = x^6

4m^2 -5m -14 =0