latoshandavis05 latoshandavis05
  • 22-02-2022
  • Mathematics
contestada

What is the quadratic equation whose roots are 2 and 6, and whose leading coefficient is 5

Respuesta :

triplea59
triplea59 triplea59
  • 22-02-2022

Answer:

5x^2-8x + 12

Step-by-step explanation:

the formula for finding roots of equation is

x^2- (sum of roots)x + products of roots =0

and we already have the roots of the equation

so we add them to give 8

and multiply to give 12

hence the quadratic equation that has those roots with leading coefficient is 5x^2-8x + 12=0

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