Answer:
1.5
Step-by-step 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