BraxtynG128758 BraxtynG128758
  • 25-10-2022
  • Mathematics
contestada

Solve the equation below by completing the square and then solving for x.2 + 14x + 24 = 0A. X=-12 or x= -2B. x=2 or x=-2C. X=-2 or x=-5D. X= 8 or x= 3

Respuesta :

AbisaiO9374 AbisaiO9374
  • 25-10-2022

2x^2 + 14x + 24 = 0

x^2 + 7x + 12 = 0

Then

x^ + (14/2) x + 12 + [7x + 49 ] = 7x + 49

Now form square

[ x + 7x + 7x + 49 ] = 7x + 49 - 12

[ x + 7]^2 = 7x + 37

Then now find x

x^2 + 7x = -6

x^2 + 7x + 7^2/4 = 7^2/4 - 6

then

( x + 7/2)^2 = 49/4 - 24/4

(x + 7/2) = ±√ (25/4)

. x = 5/2 - 7/2

and. x = 5/2 + 7/2

Then solutions are

x = -2

x= -12

ANSWER IS

OPTION A

Answer Link

Otras preguntas

6010 males did a survey and 59.7% choose vanilla how many choose chocolate
3/14 of 10/9 = 5/21 is this right??
how do you compute two thirds of 6 ounces what is two thirds of 6 ounces
Having trouble with trigonometry , please help.CSCx (1 + SINx) = 1 + CSCxprove the identity
I'm making a great dodecahedron for geometry and I'm failing at putting it together! Any tips?!
what is 3x+3=-27  what is x
What Was the Alaska Purchase?
What Is the 1976 Copyright Act?
the difference between memory and storage is that memory is ..................and storage is.............a)tempoary fermanentb)permanent tempoaryc)sloe fastd)al
If f(x) = x²-5x and g(x) = 2x-3, which expression represents the product of these two functions?1) x²-3x-32) 2x³-13x²+15x3) 9x²-15x4) 2x³-15x