Question

Solve the equation . Enter the answer in radical form, and then use calculator to approximate the solution to two decimal places , if necessary

Answer 1

So,

approximate solutions are x = 124.32 and x = 117.68

`exact \: \: solutions \: \: are \\ \: \: x \: = \: \: - √(11) + 121 \: \: \: \\ and \: \: x \: = √(11) + 121`

Explanation:

13(x-121)²=143

or, (x-121)² = 11

`x - 121 = √(11) \\ x = √(11) + 121`

so, x = 124.32

OR,

`x = - √(11) + 121`

so, x =117.68

for exact solutions,

`x = - √(11) + 121`

`x = √(11) + 121`