What is x when 84 divided by x equals 89?
In other words, what would the divisor be if the dividend were 84 and the quotient 89?
To find the answer, just divide the dividend by the quotient: 84 ÷ 89 = 0.9438202247191
To prove this, let's compute 84 divided by 0.9438202247191:
How does it work?
Asking what the value of x could be when 84 divided by x gives a result of 89, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 89:
- Which gives, after simplification: (or )
So, if the dividend is 84 and the quotient is 89, the divisor is 0.9438202247191.