National Sunglasses
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Math concept question. Quadratic v. Linear?
Here is the text book question:
While hovering near the top of Ribbon Falls in Yosemite National Park at 1600 ft, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)= -16t^2+1600. When will the sunglasses hit the ground?
I understand that the h(t)= 0 and the correct why to solve it:
-16(t^2-100) = 0
-16(t-10)(t+10) = 0
t = 10 or t = -10 and the answer cant be -10.
MY QUESTION IS- Why can't I use properties of equality to solve this equation? Is it because its a quadratic equation and you can only use the prop of equality on linear equations?
0 = -16t^2+1600
16t^2 = 1600
t^2 = 100
t = 10
Thanks for the answers. So is it safe to say that for all equations (as long as you do the same operation to both sides) they will be equal? Note I mean equations not inequalities.
Actually, you CAN use your method. The only step that is dangerous that you took is this one:
t^2 = 100 -----> t = +/- 10
Remember that whenever you take the square root of both sides, you have to use +/-. There IS no one correct way to solve it - your way is just as good as the book's way, if you do it correctly.
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