Question

The transformed equation of $x^4+8x^3+x-5=0$ by eliminating second term is:

• A. $x^4-24x^2+65x-55=0$
• B. $x^4+24x^2-65x+55=0$
• C. $x^4-24x^2-65x-55=0$
• D. $x^4+24x^2+65x+55=0$

Answer 1

The correct option is A $x^4-24x^2+65x-55=0$

Here second term is nothing but $x^3$
as we know it can be eliminated using transformation $x=y+h$

$h=-\frac{a_3}{4a_4}$

$h=-2;x=y-2$

By substituting we get $x=y-2$ in $x^4+8x^3+x-5=0$
We get $x^4-24x^2+65x-55=0$ .