Question

What is the solution to this equation 1/2n^2+18=0

Answer 1

n = ±6 .

Explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

`\rm\implies -(1)/(2)n^2+18=0`

Subtracting 18 both sides ,

`\rm\implies -(1)/(2)n^2 = -18`

Multiplying both sides by -2 ,

`\rm\implies -2*(1)/(2)n^2 = -2* -18`

On simplyfing , we get ,

`\rm\implies n^2= 36`

Putting squareroot both sides ,

`\rm\implies n= √(36)`

This equals to ,

`\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}`

Hence the value of n is ±6 .