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KVPY2015MathematicsQuadratic Equation

Let x=( 50 +7)^ 1 / 3 -( 50 -7)^ / 3

Options

  1. Ax =2
  2. Bx=3
  3. Cx is a rational number, but not an integer
  4. Dx is an irrational number

Correct answer

A. x =2

Step-by-step solution

( 50 +7)^ 1 2 = t x = t - 1 t x ³= t ³- 1 t ³ -3 ( t - 1 t ) x ³+3 x = 50 +7-( 50 -7) x ³+3 x =14 x ³+3 x -14=0( x -2) ( x ²+2 x +7 ) x =2

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