Respuesta :

Nayefx

Answer:

2 real solutions

Step-by-step explanation:

to understand this

you need to know about:

  • discriminant
  • PEMDAS

tips and formulas

  • [tex]D=b^{2}-4ac[/tex]
  • D>0 (2 real solutions)
  • D=0 (1 real solution)
  • D<0 (2 imaginary solutions) or (no real solutions)

let's solve:

  • move left hand side expressions to right hand side and change its sign:8p²-24p+10=0
  • divide both sides by 2 :4p²-12p+5=0

the quadratic equation standard form is

  • ax²+bx+c=0

therefore we get

  • a=4
  • b=-12
  • c=5

-------------------------------

  1. substitute the value of a,b and c into the discriminant: D=-12²-4.4.5
  2. simplify square:144-4.4.5
  3. simplify multiplication:144-80
  4. simplify substraction:64

since we got D>0

therefore

the quadratic equation has 2 real solutions

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