Solving word problems with quadratic equations
Answers are for parents and teachers.
1
The sum of squares of two consecutive natural numbers is 61. Find them.
5 and 6
2
A rectangle has area 60 cm² and is 4 cm longer than wide. Find its sides.
6 cm and 10 cm
3
A train covered 120 km at v km/h. With a speed 10 km/h higher it would take 1 hour less. Find v.
30
4
If the side of a square is increased by 2 cm, the area becomes 64 cm². Find the original side.
6
5
Why is only x = 5 taken from x² = 25 for a length?
Because a length is positive, so x = -5 does not fit.