What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation?

u = x2

u = x3

u = x6

u = x12

Question

Mathematics

Nadeen

28 April, 19:16

What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation?

u = x2

u = x3

u = x6

u = x12

+4

Answers (1)

Know the Answer?

Corinne Floyd · Answer 1

The answer is

4x12 - 5x6 - 14 = 0

this equation is equivalent to 4 (x^6) ² - 5 (x^6) - 14 = 0

so if u=x^6

we have 4 (u) ² - 5 (u) - 14 = 0, and it is a quadratic equation

so the answer is u = x6

What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation?u = x2u = x3u = x6u = x12

What substitution should be used to rewrite 4x12 - 5x6 - 14 = 0 as a quadratic equation?

u = x2

u = x3

u = x6

u = x12