Question

Solve: 16x2 − 80 = 0 Round the answer to the nearest hundredth. x = −0.45 and x = 0.45 x = −2.24 and x = 2.24 x = −8.94 and x = 8.94 x = −9.80 and x = 9.80

Answer 1

x = 2.24 OR x = -2.24

Explanation:

=>
`16x^2-80 = 0`

Adding 80 to both sides

=>
`16x^2 = 80`

Dividing both sides by 16

=>
`x^2 = 80/16\\x^2 = 5`

Taking sqrt on both sides

=> x = ±√5

=> x = ±2.24

So,

Either,

x = 2.24 OR x = -2.24

Answer 2

x = −2.24 and x = 2.24

Explanation:

16x^2 − 80 = 0

Add 80 to each side

16x^2 =80

Divide each side by 16

x^2 = 80/16

x^2 =5

Take the square root of each side

x = ± sqrt(5)

x = ±2.236067977