hstover496 hstover496
  • 20-02-2019
  • Mathematics
contestada

If a quadratic equation only has one solution, it's discriminant is zero.

True or False

Respuesta :

gmany
gmany gmany
  • 20-02-2019

Answer:

TRUE

Step-by-step explanation:

[tex]\text{The quadratic equation:}[/tex]

[tex]ax^2+bx+c=0[/tex]

[tex]\text{The discriminant:}[/tex]

[tex]b^2-4ac[/tex]

[tex]\text{If}\ b^2-4ac<0\ \text{then the equation has no solution}\\\\\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

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