brucepoles9354 brucepoles9354
  • 06-04-2018
  • Mathematics
contestada

If, in a quadratic equation, the values of a and c have opposite signs, the solutions of the equation are real numbers.

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mkryukova19 mkryukova19
  • 06-04-2018
ax²+bx+c=0 , a>0, c<0 (or a<0, c>0)
D=b²-4ac ≥ 0 always will be positive
because negative*positive = negative, 
a*c -negative, so (-4ac) positive 
So,
If, in a quadratic equation, the values of a and c have opposite signs, the solutions of the equation are real numbers. 
True
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