demmie demmie
  • 29-06-2020
  • Mathematics
contestada

1.
Solve the quadratic equation using quadratic formula :

x2 – 7x + 12 = 0​

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 29-06-2020

Answer:

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

For us, a = 1, b = -7, and c = 12. Filling in the formula then looks like this:

[tex]x=\frac{7+/-\sqrt{(-7)^2-4(1)(12)} }{2(1)}[/tex] which simplifies to

[tex]x=\frac{7+/-\sqrt{49-48} }{2}[/tex] and

[tex]x=\frac{7+/-\sqrt{1} }{2}[/tex] and

[tex]x=\frac{7+1}{2}=\frac{8}{2}=4[/tex] or

[tex]x=\frac{7-1}{2}=\frac{6}{2}=3[/tex]

Th 22 solutions are x = 3 and x = 4.

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