The ages of max and his father add up to 35 years. Max's father's age is the same as five more than the square of max's age

Question

Hester

Mathematics

13 May, 18:58

The ages of max and his father add up to 35 years. Max's father's age is the same as five more than the square of max's age

+1

Answers (1)

Know the Answer?

Diamond Stuart · Answer 1

M+f=35

f=5+m^2

sub 5+m^2 for f

m+5+m^2=35

m^2+m+5=35

minus 35 both sides

m^2+m-30=0

factor

what 2 numbers mulitply to get - 30 and add to get 1

-5 and 6

(m-5) (m+6) = 0

set to zto

m-5=0

m=5

m+6=0

m=-6

age can't be negative

max is 5

father is 30