Answer:
The required number is 8.
Explanation:
Given : If
is subtracted from four times the reciprocal of a number, the result is 0.
To Find : The number ?
Solution :
Let the number be x.
The reciprocal of number is
![(1)/(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ma5752n20y6te930sh5jm5vschamdai50a.png)
is subtracted from four times the reciprocal of a number, the result is 0.
The equation will become,
![4* (1)/(x) - (1)/(2)=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rvw5a4zbxdw4ptsywe86xgr4ufwbml6eu5.png)
Solving the equation we get,
![(4)/(x) -(1)/(2)=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pmp8fsbi90v5mo6exn6ub76wrxhnduen9n.png)
![(4)/(x) = (1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fzyep341108b6yk8bwk1ol35jno5rupfxc.png)
![x= 4* 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ka5t3yntt2gts8y8wbdfki0mdt87r6d3i0.png)
![x=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/po1bnrefckqkeun39qn4rzy58sb9nxf1du.png)
Therefore, the required number is 8.