Answer:
→ 3.4
Step-by-step explanation:
Given Equation :
- [tex] \sf{ \sqrt{5x - 1} = 4}[/tex]
To find :
Solution :
[tex] \sf{ \dashrightarrow \: \: \: \sqrt{5x - 1} = 4}[/tex]
Step 1 - Squaring on both sides :
[tex] \sf{ \dashrightarrow \: \: \: (\sqrt{5x - 1} ) {}^{2} = 4 {}^{2} }[/tex]
We get ,
[tex] \sf{ \dashrightarrow \: \: \: 5x - 1 = 16}[/tex]
Step 2 - Adding 1 on both sides :
[tex] \sf{ \dashrightarrow \: \: \: 5x - \cancel{1} + \cancel{ 1} = 16 + 1}[/tex]
We get ,
[tex] \sf{ \dashrightarrow \: \: \: 5x = 17}[/tex]
Step 3 - Dividing both sides with 5 :
[tex]\sf{ \dashrightarrow \: \: \: \dfrac{ \cancel{5}x }{ \cancel{5}} = \dfrac{ 17}{5}}[/tex]
We have :
[tex]\sf{ \dashrightarrow \: \: \: \underline{ \boxed{ \bold{ x = \dfrac{17}{5} \: or \: 3.4}}}} \: \: \: \bigstar[/tex]
>>> Therefore, value of x is "17/5" or we can say in decimal form i.e. "3.4".
