Polynomial Discrimination

Algebra Level pending

Add together all of the quadratic equations below which have two real number solutions:

  1. \({ 2x }^{ 2 }+4x-2\)
  2. \({ x }^{ 2 }+9x+16\)
  3. \(-{ x }^{ 2 }+x-10\)
  4. \({ x }^{ 2 }+13x+42\)
  5. \({ 9x }^{ 2 }+60x+1\)
  6. \({ 16x }^{ 2 }+32x+31\)
  7. \({ 2x }^{ 2 }+5x-22\)
  8. \({ -14x }^{ 2 }-28x-10\)
  9. \({ 2x }^{ 2 }+20x+100\)
  10. \({ 30x }^{ 2 }+90x+90\)

If the sum of the quadratic equations equals \({ Ax }^{ 2 }+Bx+C\), find A+B+C.

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