Question

Знайдіть значення виразу p(a)/p(14-a),якщо p(a)=a(14-a)/a-7.​

Answer 1

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Answer 2

To find the value of the expression p(a)/p(14-a), we first need to determine the values of p(a) and p(14-a), and then perform the division.

Given: p(a) = a(14-a)/(a-7)

Step 1: Calculate p(a) using the given formula.

p(a) = a(14-a)/(a-7)

Step 2: Calculate p(14-a) by substituting a with (14-a) in the formula.

p(14-a) = (14-a)(14-(14-a))/((14-a)-7)

Step 3: Simplify both expressions.

p(a) = a(14-a)/(a-7) = (14a - a^2)/(a-7)

p(14-a) = (14-a)(14-(14-a))/((14-a)-7) = (14-a)(14-a)/(7-a)

Step 4: Now, we can find the value of p(a)/p(14-a).

p(a)/p(14-a) = [(14a - a^2)/(a-7)] / [(14-a)(14-a)/(7-a)]

Step 5: To divide fractions, we invert the second fraction and multiply.

p(a)/p(14-a) = [(14a - a^2)/(a-7)] * [(7-a)/(14-a)(14-a)]

Step 6: Simplify the expression further.

p(a)/p(14-a) = (-(a^2 - 14a)/(-(a-7))) * [(7-a)/(14-a)(14-a)]

p(a)/p(14-a) = (a^2 - 14a) / ((a-7) * (14-a) * (14-a))

And that's the final expression for p(a)/p(14-a).