ISI2015-DCG-28

Question

If one root of a quadratic equation $ax^2+bx+c=0$ be equal to the $n^{th}$ power of the other, then

• A. $(ac)^{\frac{n}{n+1}} +b=0$
• B. $(ac)^{\frac{n+1}{n}} +b=0$
• C. $(ac^{n})^{\frac{1}{n+1}} +(a^nc)^{\frac{1}{n+1}}+b=0$
• D. $(ac^{\frac{1}{n+1}})^n +(a^{\frac{1}{n+1}}c)^{n+1}+b=0$

Answer 1

Let (x-2)(x-4) =0 equations where a=1 b=-6 c=8 n=2 root1=2 root2=4 options C satisfied answer