Question

Please need full answer asap

Answer 1

Explanation:

`(x+14)^2+x^2=22^2` (Pythagoras Theorem)

`(x^2+28x+196)+x^2=484`

`2x^2+28x+196=484`

`2x^2+28x-288=0`

`x^2+14x-144=0`

Using quadratic formula,

`x=(-b\pm √(b^2-4ac) )/(2a)`

`x=(-14\pm √((14^2-4*1*(-144)) )/(2*1)`

`=(-14\pm √((196+576) )/(2)`

`=(-14\pm 2√(193) )/(2)`

`=-7\pm√(193)`

`=-7\pm13.89`

`=6.89 ,-20.89` (-20.89 is not useful...cannot have a negative length for

radius)

Solution: radius is 6.89