Question

16x^2=100
How many solutions will there be to the following equation?

Answer 1

16x^2 = 100
x^2 = 100/16
x^2 = 6.25
x = (+-) sqrt 6.25
x = (+-) 2.5

x = 2.5 and x = - 2.5........2 solutions

Answer 2

There are two solutions
`x=(5)/(2),-(5)/(2)`

Explanation:

Given : Equation
`16x^2=100`

To find : How many solutions will there be to the following equation?

Solution :

Equation
`16x^2=100`

Solve the equation,

Divide by 16 both side,

`(16x^2)/(16)=(100)/(16)`

`x^2=(100)/(16)`

Taking root both side,

`x=\sqrt{(100)/(16)}`

`x=\sqrt{(10^2)/(4^2)}`

`x=\pm(10)/(4)}`

`x=\pm(5)/(2)}`

Therefore, There are two solutions
`x=(5)/(2),-(5)/(2)`