sierrastak sierrastak
  • 21-08-2018
  • Mathematics
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Use the discriminant to find the number of real solutions of the equation 3x2 – 5x + 4 = 0. Show your work.

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GoddessofDork
GoddessofDork GoddessofDork
  • 21-08-2018

So the equation to find the discriminant is [tex] b^2-4ac [/tex] , with a = x^2 coefficient, b = x coefficient, and c = constant. Using that formula, our equation is [tex] (-5)^2-4*3*4 [/tex]

  1. Firstly, solve the exponent and multiplications: [tex] 25-48 [/tex]
  2. Next, do the subtraction, and your discriminant is -23.

Now because the discriminant is less than zero, there are no real solutions.

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