Final answer:
To express the equation (5 + x)(5 - x) = 7 in its general form, we need to expand and simplify the equation, which gives us -x^2 + 18 = 0. Therefore, the values of 'a,' 'b,' and 'c' for the general form of the equation are A = -1, B = 0, and C = 18.
Step-by-step explanation:
To express the equation (5 + x)(5 - x) = 7 in its general form, Ax^2 + Bx + C = 0, we need to expand and simplify the equation.
First, we multiply the binomials (5 + x) and (5 - x) using the distributive property, which gives us:
25 - x^2 = 7
Next, we rearrange the equation in the standard form of a quadratic equation, Ax^2 + Bx + C = 0, by subtracting 7 from both sides:
-x^2 + 25 - 7 = 0
-x^2 + 18 = 0
Therefore, the values of 'a,' 'b,' and 'c' for the general form of the equation are A = -1, B = 0, and C = 18.