Section 1.3 Quadratic Equations 1. 2 OBJECTIVE 1 3.

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Presentation transcript:

Section 1.3 Quadratic Equations 1

2

OBJECTIVE 1 3

Solve the equation: (a) (b) --- 4

Solve the equation: --- 5

OBJECTIVE 2 6

The Square Root Method 7

Solve each equation. (a) (b) 8

OBJECTIVE Finding the vertex of a Quadratic Function

10 Example 4 For t in seconds, the height of a object in feet is given by the formula y = f(t) = −16t t Using algebra, find the maximum height reached by the object and the time that height is reached. second

11 Area = lw

OBJECTIVE 4 12

13

14

Find the real solutions, if any, of the equation: (a) (b) (c)

Find the real solutions, if any, of the equation: 16

17

OBJECTIVE 5 18

Solution is only x = 22 19

The area of the opening of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 centimeter, what are the dimensions? (Page 122 #90) An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s of the object from the ground is s = -5t t. (Page 123 #100) (a) When will the object be 15 meters above the ground? (b) When will it strike the ground? (c) When will object reach a height of 100 meters? Area = Length X width306 = (w + 1)w 15 = -5t t 0 = -5t t 100 = -5t t 20