Prove that if one of the roots of a quadratic with real coefficients is imaginary, then the two roots of the quadratic are...
Given that  x, y,  and  z  are rational and the square root of z is not, show that if x+y square root of z is a root of a ...
Prove that the sum of the roots of ax² + bx  + c =0 is –b/a  and that the product of the roots is c/a .
 
 
 
 
 
 
 
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analysis quadratic questions

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Ten questions for an honors precalculus class to critically think about!

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analysis quadratic questions

  1. 1. Prove that if one of the roots of a quadratic with real coefficients is imaginary, then the two roots of the quadratic are complex conjugates.
  2. 2. Given that x, y, and z are rational and the square root of z is not, show that if x+y square root of z is a root of a quadratic with rational coefficients, then x-y square root of z is also a root.
  3. 3. Prove that the sum of the roots of ax² + bx + c =0 is –b/a and that the product of the roots is c/a .

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