jstrozier78 jstrozier78
  • 25-09-2021
  • Mathematics
contestada

Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

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Аноним Аноним
  • 25-09-2021

Answer:

Answer: 4x² - 9x + 20

Step-by-step explanation:

• General quadratic equation:

[tex]{ \rm{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) }}[/tex]

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

[tex]{ \boxed{ \rm{4 {x}^{2} - 9x + 20 }}}[/tex]

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