Answer:
The substitution that can be made in order to convert the equation into quadratic equation is:
\(u=x^6\)
Hence, option: C is correct.
Step-by-step explanation:
We are asked to find the substitution that can be made in order to convert the given degree six polynomial equation into a quadratic equation i.e. degree 2.
We are given a polynomial equation as:
\(4x^{12}-5x^2-14=0\)
We know that a quadratic equation is written in the form:
\(ax^2+bx+c=0\)
where a,b and c are real numbers.
Hence here if we substitute:
\(u=x^6\)
We get:
\(u^2=x^{12}\)
Hence, the equation get converted into:
\(4u^2-5u-14=0\)
Hence, the substitution is:
\(u=x^6\)
