Warm-up: Solve: 2x2 + 4x – 5 = 0 HW : pg.62-63 (25, 27, 31, 43, 46, 47, 64, 67, 76, 93, 96, 100, 102, 107, 108,117, 119)

HW Answers: pg.62-63 (16,18, 20, 24, 26, 28, 30, 44, 45, 49, 52, 54, 59, 60, 62, 68, 69, 72, 74, 79) 16) 3 18) -10 20) 50 24) ½ 26) 0 28) 9/7 30) 7/4 44) ± 1 3 45) 4, -2 49) − 3 2 , 11 52) 0, ± 5 2 54) 3, 1, -1 59) ±2 3 ; ±3.46 60) ± 5 3 ; ±1.67 62) −13± 21 ;−8.42, −17.58 68) −4± 2 69) 2±2 3 72) 1, -1/2 74) 1 2 ± 5 2 79) 2/7

Objective: Check/Find solutions by calculator. Solve polynomial equations of a higher degree Solve radical and rational exponent equations. Solve absolute value equations.

Check/Find Solutions by calculator: Check?Find the zeros by graphing the related quadratic function, using the ZERO function of a graphing calculator. Type equation using [y=] then hit [graph]. Be sure to use an appropriate window! Press [2nd] [CALC] [2] Left Bound?  a number to left of the zero such as -5 Right Bound?  a number to the right of the zero such as -1 Guess? a value close to the zero on the graph such as -3 the approximate zeros of the related function are –2.9 and 0.9. Example 5-3a

Solving Polynomial Equations of Higher Degree: set equal to zero and factor 3x4 = 48x2 Careful! Do not simplify by dividing each side by x2. The solution 0 will be lost. 3x4 – 48x2 = 0 Set equal to zero. 3x2(x2 – 16) = 0 Factor. 3x2(x + 4)(x – 4) = 0 ZPP 3x2 = 0 x – 4 = 0 x + 4 = 0 x = 0 x = 4 x = – 4 Check for extraneous solutions!

Solving a radical equation containing one square root: 1. Isolate the radical on one side of the equation. 2. Square both sides of the equation. 3. Solve for the variable. 4. Check the solutions. Example: Solve . Isolate the radical. Square both sides. Solve for x. Check.

Example: Solve Isolate the radical. Square both sides. Solve for x. Check your Solutions!

Solve: Check your solution! Isolate the rational exponent Raise both sides to the reciprocal power Take the fourth root of 16 then raise to the third power Check your solution!

Can graphing calculators help? SURE! [y=] Input for Y1 and x-2 for Y2 [Graph] (make sure window is appropriate) Find the points of intersection [2nd] [calc] [5] [enter] [enter] [enter] One Solution at x = 4 Check to see if the solution is extraneous!

Absolute Value Equations Isolate the absolute value. Apply Absolute Value Rule Check your Solutions!

Summary: Check/Find solutions by calculator. Solve polynomial equations of a higher degree Solve radical and rational exponent equations. Solve absolute value equations.

Sneedlegrit: Solve: 2𝑥+7 −𝑥=2 HW : pg.62-63 (25, 27, 31, 43, 46, 47, 64, 67, 76, 93, 96, 100, 102, 107, 108,117, 119)