HazzaNaz4479 HazzaNaz4479
  • 22-10-2019
  • Mathematics
contestada

Consider the equation 3x+x²=-7.What does the value of the discriminant tell us about number of solutions to this equation?

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pedrocarratore
pedrocarratore pedrocarratore
  • 22-10-2019

Answer:

The equation has two complex solutions

Step-by-step explanation:

First reorder the terms of the equation:

[tex]x^{2} +3x +7 =0[/tex]

Then find the discriminant:

[tex]\Delta= b^{2} -4ac\\\Delta= 3^{2} -4*3*7\\\\\Delta= -75\\[/tex]

A negative discriminant tells us that the solutions to this equation  are complex numbers since there are no real number solutions for negative square roots. In addition, since the discriminant is different than zero, the equation has two complex solutions.

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