The value of 6p - n using the roots of the given quadratic equation is; 4
We are given the quadratic equation;
3x² + 5x - 2 = 0
Using the quadratic formula, we can find the roots as;
x = [-b ± √(b² - 4ac)]/2a
From the given quadratic equation we see that;
a = 3
b = 5
c = -2
Thus;
x = [-5 ± √(5² - 4(3 * -2))]/2(3)
x = (-5 ± 7)/6
x = 1/3 or -2
We are told that p is the positive root while n is the negative root. Thus;
6p - n = 6(1/3) - (-2) = 4
Read more about roots of quadratic equations at; https://brainly.com/question/1214333
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