Problem 1: One side of a rectangle is 2 meters longer than the other. If the diagonal is 10 meters, what are the lengths of the sides?
Problem 2:you throw down an object from a height of 128 feet with an initial velocity of 32 feet per second. The height of the object above the ground after 't' seconds is given by s(t)= -16t^2 -32t+128.
- what is the height of the object after 1 second?
- how lond doe it take for the wrench to reach the ground?
Let the length of one side be x then other side will be x + 2.
we can apply Pythagoras theorem here
x^2 + (x+2)^2 = 10^2
x^2 + x^2 + 4x + 4 = 10^2
2x^2 + 4x + 4 = 100
=> 2x^2 + 4x - 96 = 0
A step by step easy to follow solution is provided to word problems on quadratic equations.