Question

Find a negative real number such that the square of the sum of the number and 5 is equal to 48

Answer 1

(n+5)^2=48
sqrt both sides
n+4=+/-4√3
minus 4 both sides
n=-4+/-4√3

-4+4√3>0 so this cannot be the value of n
n=-4-4√3

the number is -4-4√3