Final answer:
To solve for 'x' in a quadratic equation, we use the quadratic formula with the given coefficients. An example with a=3, b=13, c=-10 yielded a solution for 'x', and another with a=1, b=1.2x10^-3, c=-6.0x10^-3 provided a positive root for 'x' which is 7.2x10^-2.
Step-by-step explanation:
To find the value of x in the given equations, we need to apply the quadratic formula. The quadratic formula states that for any quadratic equation of the form ax2 + bx + c = 0, the solutions for x can be found using the formula:
x = −(b) ± √(b)2 − 4ac / (2a)
By substituting the appropriate values of a, b, and c into the formula, we can solve for x. An example provided was using a = 3, b = 13, and c = −10 to find:
x = −13 ± √(13)2 − 4 × 3 × (−10)/(2 × 3)
In a different scenario, where a = 1, b = 1.2 × 10−3, and c = −6.0 × 10−3, we find that the positive root of x is 7.2 x 10−2 as concentration cannot be negative.
Each scenario provides a method to identify the value of x using the given coefficients in a quadratic equation format.