om3ga50
om3ga50 om3ga50
  • 15-06-2021
  • Mathematics
contestada

Select the two values of x that are roots of this equation 2x^2+1=5x​

Respuesta :

samuelthankgod
samuelthankgod samuelthankgod
  • 15-06-2021

Answer:

2.28 and 0.22

Step-by-step explanation:

2x²+1=5x

2x²-5x+1=0

this cannot be properly factorized

so let's use the almighty formula,

[tex] - b + - \sqrt{( {b}^{2} } - 4ac) \: \times \frac{1}{2a} [/tex]

where a=2, b=-5, c= 1

=-(-5)±√{(-5)²-4x2x1} x 1/(2 x 2)

=5±√25-8 x1/4

=5±√17 x ¼

=(5±4.12)/4

=2.28. or. 0.22

roots=2.28 and 0.22

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