jenkinjack9267 jenkinjack9267
  • 21-03-2024
  • Mathematics
contestada

If a quadratic equation factors into the form x² - 3x - 28 = 0, What are the solutions?
1) -4 and 7
2) -7 and 4
3) 4 and -7
4) 7 and -4

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 21-03-2024

Answer:

3)     4 and -7

Step-by-step explanation:

The given quadratic equation is
x² - 3x - 28 = 0

This can be factored into
(x - 7)(x + 4) = 0

This implies
x + 4 = 0
or
x - 7 = 0

x + 4 = 0 gives x = -4

x + 7 = 0 gives x = -7

So solutions are
x = 4, x = -7

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