Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation

Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 

Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.

The maximum height of the diver is therefore 4 meters.
Answer:
x=7, -2.
Step-by-step explanation:
x^2-5x=14
x^2-5x-14=0
factor out the trinomial,
(x-7)(x+2)=0
zero property,
x-7=0, x+2=0,
x=0+7=7,
x=0-2=-2