document.write( "Question 31689: Suppose a and b are rational numbers. If the solutions to ax^2+2bx-a=0 are not rational, then show that the solutions to bx^2+2ax-b=0 are not rational. \n" ); document.write( "

Algebra.Com's Answer #18451 by venugopalramana(3286) $\"\"$ $\"About$

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Suppose a and b are rational numbers. If the solutions to ax^2+2bx-a=0 are not rational,
\n" ); document.write( "SO DISCRIMINANT = (2B)^2-4*(A)(-A)=4B^2+4A^2 IS NOT A PERFECT SQUARE........................I
\n" ); document.write( " then show that the solutions to bx^2+2ax-b=0 are not rational.
\n" ); document.write( "DISCRIMINANT =(2A)^2-4(B)(-B)= 4A^2+4B^2=4B^2+4A^2..........THIS IS NOT A PERFECT SQUARE AS PER I.HENCE THE ROOTS OF THIS QUADRATIC ARE ALSO IRRAIONAL \n" ); document.write( "

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