Question

6х (6х-4) + 9х (3-4х) при х = -одна девятая

Answer 1

Решение на фото. Всё элементарно

Answer 2

To evaluate the expression 6x(6x-4) + 9x(3-4x) when x is equal to -1/9, we simply substitute -1/9 for x in the expression and perform the calculations.

Let's plug in the value of x and simplify the expression step-by-step:

1. Replace x with -1/9: 6(-1/9)(6(-1/9) - 4) + 9(-1/9)(3 - 4(-1/9))

2. Simplify the expressions within the parentheses: 6(-1/9)(-6/9 - 4) + 9(-1/9)(3 + 4/9)

3. Continue simplifying: (-6/9) is the same as (-2/3) and (4/9) is the same as (4/9), so we have: -2/3 * (-2/3 - 4) + 9(-1/9)(3 + 4/9)

4. Perform the operations inside the first set of parentheses: -2/3 * (-2/3 - 4) is equal to -2/3 * (-2/3 - 12/3) which simplifies to -2/3 * (-14/3)

5. Multiply the fractions: -2/3 * (-14/3) = 28/9

6. Continue simplifying the expression: 28/9 + 9(-1/9)(3 + 4/9)

7. Perform the operation inside the second set of parentheses: 3 + 4/9 = (27/9 + 4/9) = 31/9

8. Multiply the fractions: 9(-1/9)(31/9) = -1/1 * 31/9 = -31/9

9. Add the results together: 28/9 - 31/9 = (28 - 31)/9 = -3/9

10. Simplify the fraction: -3/9 can be reduced to -1/3

Therefore, when x is equal to -1/9, the expression 6x(6x-4) + 9x(3-4x) evaluates to -1/3.