ZoharaP480987 ZoharaP480987
  • 03-11-2022
  • Mathematics
contestada

2. Let f(x) be the function f(x) = 2x² + 5x – 12. The value of the positive zero isA. 1.5B. 2.4C. 3D. 4E. 12

Respuesta :

TreseanB385976 TreseanB385976
  • 03-11-2022
Answer:

1.5

Explanation:

The given function is:

f(x) = 2x² + 5x – 12

To find the zeros, equate f(x) to zero.

f(x) = 0

2x² + 5x – 12 = 0

2x² - 3x + 8x - 12 = 0

x(2x - 3) + 4(2x - 3) = 0

(x + 4)(2x - 3) = 0

x + 4 = 0

x = -4

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

The zeros of the function f(x) = 2x² + 5x – 12 are -4 and 1.5

Since only x = 1.5 is positive, x = -4 is not positive, the value of the positive zero is 1.5

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