Question

What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation? u = x2 u = x3      u = x6      u = x12

Answer 1

Sent a picture of the solution to the problem (s).

Answer 2

Answer:
`u=x^6`

Step-by-step explanation:

A quadratic equation is an equation written in the form

`au^2 + bu + c=0` (1)

where a,b,c are coefficients and where u is the variable.

Our original equation is:

`4x^(12) - 5x^6 -14=0`

If we make the substitution
`u=x^6`, we obtain

`4u^2 -5u-14 =0`

Which corresponds to eq.(1), with coefficients a=4, b=-5, c=-14.