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mathtard
 3 years ago
Determine the nature of solutions of the equation
x^23x+8=0
mathtard
 3 years ago
Determine the nature of solutions of the equation x^23x+8=0

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fiddlearound
 3 years ago
Best ResponseYou've already chosen the best response.0you need to check the discriminant  know what that is ?

fiddlearound
 3 years ago
Best ResponseYou've already chosen the best response.0are you familiar with the quadratic equation ?

mathballet8888
 3 years ago
Best ResponseYou've already chosen the best response.2use quadratic formula

fiddlearound
 3 years ago
Best ResponseYou've already chosen the best response.0ever seen this formula ? \[x=\frac{b \pm \sqrt{b^24ac}}{2a}\]

mathballet8888
 3 years ago
Best ResponseYou've already chosen the best response.2\[(b \pm \sqrt{b^{2}4ac})/2a\]

fiddlearound
 3 years ago
Best ResponseYou've already chosen the best response.0In general: ax^2+bx+c=0 In your case: a=1 (the coefficient of x^2) b=3 (coefficient of x) c=8 Use these values and plug them into the discriminant (the thingy inside the square root). \[\Delta=b^24ac\] If the discriminant = 0, there is one real solution If the discriminant > 0, there are two real solutions If the discriminant < 0, there are no real solutions
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