Question

Find the value of Following (√ 5)7-x ÷ (√5)2x = (√5)

Answer 1

`x=(7√(5))/(11)`

Explanation:

Given equation:

`(7√(5)-x)/(2√(5)x)=√(5)`

Multiply both sides of the equation by 2(√5)x:

`(7√(5)-x)/(2√(5)x)\cdot 2√(5)x=√(5)\cdot 2√(5)x`

`7√(5)-x}=2√(5) √(5)x`

`7√(5)-x}=2\cdot 5}x`

`7√(5)-x}=10x`

Add x to both sides of the equation:

`7√(5)-x+x=10x+x`

`7√(5)=11x`

Divide both sides of the equation by 11:

`(7√(5))/(11)=(11x)/(11)`

`(7√(5))/(11)=x`

Therefore, the value of x is:

`\boxed{x=(7√(5))/(11)}`