Question

Равносильные уравнения. Линейное уравнение с одной переменной. Решение линейных уравнений с одной переменной. Урок 5 При каких значениях a уравнение –2ax = 7:имеет корень, равный 7имеет корень, равный имеет корень, равный –0,1Не имеет корней при a =.Имеет положительный корень при . Срочно пожалуйста.

Answer 1

имеет корень, равный 7

-0,5

имеет корень, равный -7/5

2,5

имеет корень, равный –0,1

35

Не имеет корней при a =0

Имеет положительный корень при  а<0

Пошаговое объяснение: проверено

Answer 2

Linear Equations with One Variable

A linear equation with one variable is an algebraic equation of the form ax + b = c, where a, b, and c are constants, and x is the variable. Solving linear equations involves finding the value of the variable that satisfies the equation.

Solving the Linear Equation –2ax = 7

To find the values of a for which the equation –2ax = 7 has a root, we can solve for x. The equation can be rewritten as x = 7 / (-2a).

Conditions for the Equation to Have a Root

The equation –2ax = 7 has a root when the value of a allows the expression 7 / (-2a) to be a real number. This means that the denominator cannot be zero, as division by zero is undefined in the real number system.

Determining the Values of a for the Equation to Have a Root

1. The equation has a root, equal to 7, when a is not equal to 0. - The value of a cannot be 0, as division by 0 is undefined. - Therefore, the equation has a root, equal to 7, for all values of a except when a = 0.

2. The equation has a root, equal to –0.1, when a is not equal to 0. - Similar to the previous case, the value of a cannot be 0 for the equation to have a root equal to –0.1. - Therefore, the equation has a root, equal to –0.1, for all values of a except when a = 0.

3. The equation does not have roots when a = 0. - When a = 0, the equation becomes 0x = 7, which simplifies to 0 = 7. - This is a contradiction, and therefore, the equation does not have a solution when a = 0.

4. The equation has a positive root when a is negative. - When a is negative, the expression 7 / (-2a) will be positive, resulting in a positive root for the equation.

In summary, the equation –2ax = 7 has a root equal to 7 for all values of a except when a = 0. It has a root equal to –0.1 for all values of a except when a = 0. The equation does not have roots when a = 0, and it has a positive root when a is negative.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.