Answer:
The quadratic formula is used to simplify quadratic expressions by substituting the values of a, b, and c. For instance, if a = 3, b = 13, c = -10, it simplifies to two possible solutions for x: 2/3 and -5.
Step-by-step explanation:
The expression provided resembles the quadratic formula application. To simplify the expression using the quadratic formula, you need to identify the values of a, b, and c from a given quadratic equation of the form ax^2+bx+c = 0. Once identified, substitute them into the formula:
x = ∓ (-b ± √(b^2 - 4ac))/(2a)
Based on the reference provided, if we take an example where a = 3, b = 13, and c = -10, we substitute these values to get:
x = ∓ (-13 ± √(13^2 - 4×3×(-10)))/(2×3)
This simplifies to:
x = (-13 ± √(169 + 120))/6
x = (-13 ± √289)/6
x = (-13 ± 17)/6
Resulting in two possible solutions for x after simplifying:
x = -13 + 17/6 = 4/6 or 2/3
x = -13 - 17/6 = -30/6 or -5
After elimination of terms and checking if the answers are reasonable, we have simplified the quadratic expression.