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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2019 · Mathematics · Quadratic Equation

If p and q are the roots of the equation x^2-30 x+221=0 , what is...

If pp and qq are the roots of the equation x2−30x+221=0x^2-30 x+221=0, what is the value of p3+q3p^3+q^3 ?

Options

  1. A7010
  2. B7110
  3. C7210
  4. D7240

Correct answer

B. 7110

Step-by-step solution

x2−30x+221=0x2−13x−17x+17×13=0⇒(x−13)(x−17)=0∴p=13,q=17∴p3+q3=2197+4913=7110\begin{aligned} & x^2-30 x+221=0 \\ & x^2-13 x-17 x+17 \times 13=0 \\ & \Rightarrow \quad(x-13)(x-17)=0 \\ & \therefore \quad p=13, q=17 \\ & \therefore \quad p^3+q^3=2197+4913 \\ & =7110\end{aligned}
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