Quadratic Equation The flight of an aircraft is represented by the equation                                   h(t) = -10t^2 + 500t +9050 where h is the height in metres and t is the...

Quadratic Equation

The flight of an aircraft is represented by the equation                                   h(t) = -10t^2 + 500t +9050 where h is the height in metres and t is the time in seconds. What is the maximum altitude of the plane.

 Please explain thank you!

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`h(t) = -10t^2+500t+9050`

 

`First take -10 out of the expression. h(t) = -10(t^2-50t-905)`

 

Now we have to complete a square in the left side.

 

Look at following expression.

`(t-a)^2 = t^2-2at+a^2`

 

Consider` t^2-50t-905 ` with the right side of the above. Compare the...

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