| Find \[x,\]if\[\frac{17}{2}-\left\{ \frac{11}{2}-\left( \frac{15}{2}-\frac{14}{5}\div x \right) \right\}\] \[\times \frac{17}{4}\div {{\left( \frac{1}{5} \right)}^{2}}=306\] |
A) 3.2
B) \[-\,\,3.5\]
C) 3.8
D) \[-\,\,3.4\]
Correct Answer: B
Solution :
| Given, \[\frac{17}{2}-\left\{ \frac{11}{2}-\left( \frac{15}{2}-\frac{14}{5}\div x \right) \right\}\times \frac{17}{4}\div {{\left( \frac{1}{5} \right)}^{2}}=306\] |
| \[\Rightarrow \]\[\frac{17}{2}-\left\{ \frac{11}{2}-\left( \frac{15}{2}-\frac{14}{5x} \right) \right\}\times \frac{17}{4}\times 25=306\] |
| \[\Rightarrow \]\[\frac{17}{2}-\left\{ \frac{11}{2}-\frac{15}{2}+\frac{14}{5x} \right\}\times \frac{17}{4}\times 25=306\] |
| \[\Rightarrow \]\[\frac{17}{2}-\left\{ \frac{55x-75x+28}{10x} \right\}\times \frac{425}{4}=306\] |
| \[\Rightarrow \]\[\frac{17}{2}-\left\{ \frac{28-20x}{10x} \right\}\times \frac{425}{4}=306\] |
| \[\Rightarrow \]\[\frac{85x-(7-5x)\times 425}{10x}=306\] |
| \[\Rightarrow \]\[85x-2975+2125x=3060x\] |
| \[\Rightarrow \] \[x=-\,\,3.5\] |
You need to login to perform this action.
You will be redirected in
3 sec
