Which equation is true for x 6 and x 2


Asked by maham237 @ in Mathematics viewed by 355 People


x = –6 and x = 2?
2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answered by maham237 @



we know that

using a graph tool


let's proceed to graph each case to determine the roots

case 1)  2x^{2} - 16x + 12 = 0

the roots are

 x1=0.8\ x2=7.2  ------> is not the solution

see the attached figure N  1

case 2)  2x^{2} +8x -24 = 0

the roots are

 x1=-6\ x2=2

see the attached figure N  2 --------> is the solution

case 3)  3x^{2} - 4x - 12 = 0

the roots are

 x1=-1.4\ x2=2.8  ------> is not the solution

see the attached figure N  3

case 4)  3x^{2} +12x +36 = 0


the graph does not have x-intercepts

see the attached figure N  4 ------> is not the solution

therefore

the answer is

the solution is

 2x^{2} +8x -24 = 0


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