![]() ![]() The tallest building in the USA is in Chicago, Illinois.Use h = -16t2 + h0 Height of the object after it has fallen Object’s initial height # of seconds after the object is dropped.h is the height in feet above the ground t is the number of seconds the object has been falling s is the initial height from which the object was dropped Ignoring air resistance, its height h can be approximated by the falling object model. When an object is dropped, the speed with which it falls continues to increase.x2=-1 x2=4 has two solutions, x = 2, x = -2 x2=5 has two solutions, x =√5, x =- √5 x2=0 has one solution, x = 0 x2=-1 has no real solution, x = i, x = -i If d ![]() If d = 0, then x2 = d has one solution.If d > 0, then x2 = d has two solutions.We can solve equations is this form by taking the square root of both sides.If the value of b were equal to zero, the equation becomes ax2 + c = 0.a is the leading coefficient and cannot be equal to zero.Perfect Squares: Numbers whose square roots are integers or quotients of integers. All positive numbers have two square roots, one positive and one negative.Example: If 32 = 9, then 3 is the square root of 9.If a number square (b2) = another number (a), then b is the square root of a.Solving Quadratic Equations by Finding Square Roots
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