Question

(а+6):х=28 при каком а нет корней

Answer 1

При а= -6. То есть: X=0; a+6=0; a=-6.

Answer 2

To find the value of "a" for which there are no roots, we need to determine the condition under which the equation has no solutions. In this case, the equation is given as:

(а + 6) / х = 28

To have no roots, the equation must be such that the left-hand side (LHS) does not equal the right-hand side (RHS) for any value of "х". If the LHS is always equal to the RHS, the equation will have infinite solutions (or all real numbers).

Let's set up the equation to find the value of "a" where there are no roots:

(а + 6) / х = 28

To have no solutions, the numerator (а + 6) must not be able to equal 28 multiplied by any value of "х." Therefore, we can set up the following inequality:

а + 6 ≠ 28 * х

Now, we need to find the value of "а" that satisfies this inequality for all values of "х." Since we want to avoid roots, we should ensure that the equation holds for all real numbers except for when "х" is zero, as division by zero is undefined.

Let's consider two cases:

Case 1: х ≠ 0

In this case, we can cancel out "х" from both sides of the inequality:

а + 6 ≠ 28

Now, subtract 6 from both sides:

а ≠ 22

So, for "а" to have no roots when х ≠ 0, "а" must not be equal to 22.

Case 2: х = 0

Since we excluded "х" being zero from the previous case, we don't need to consider it again here.

Conclusion:

To have no roots in the original equation (а + 6) / х = 28, "а" must not equal 22. For any other value of "а," there will be no solutions for "х" because the equation will hold true for all real numbers except when "х" is zero.