Identify the b half it square it add it to both sides

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College Algebra
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Chapter 1 / Exercise 78
College Algebra
Gustafson/Hughes
Expert Verified
3. Identify the b# (half it - square it - add it to both sides)(Since there are no #’s to half—literally showmultiplying by 21)Square this “expression part”—add it to both sides4. Write Expression as a perfect square trinomialSimplify the other side (adding fractions need common denominators)--Answer should be in Standard Form.5. Square root both sidesPut a on the right in front of term(Fractions already have Common Denominator) – justwrite final expression.6. NOW you have a new formula called theQuadratic Formula(you can remember this formula through a song)To remember formula sing/hum the phase below to the “pop goes the weasel song”“x =’s negative b, plus or minus the square root of b2minus 4 a c, all over 2 a”******WRITE THE FORMULA DOWN AS YOU SING THE SONG******Steps for using the Quadratic Formula: (Use when quad equation= 0)Get equation equal to ZERO!!!Put Equation in standard form: __________________________Identify the a, b, and c #’s.Plug into the formula and simplify.
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College Algebra
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Chapter 1 / Exercise 78
College Algebra
Gustafson/Hughes
Expert Verified
Solve the following using the quadratic formula, answers should be in simplest radical form when possible.1)Solve for x: x2– 12x = -20 2)Solve for x: 2x2+ 9x = 18Quadratic Formula:3) Solve for x: x2– 5x – 3 = 04) Solve for x:2x2– 4x = 114
Quadratic Formula:What is the quadratic formula used for?Give some reason(s) to use the quad formula instead of completing the square method.15
Solve the following using the quadratic formula. Answer should be in simplest radical form when possible. 1)Solve for x: -3x2= 8x – 122) Solve for x:3x2+ 5x – 12 = 0 3)The Demon Drop at Cedar Point in Ohio takes riders to the top of a tower and dropsthem 60 feet. A function that approximates this ride is h= -16t2+ 64t + 60, whereh is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop 60 feet?4)The percent of U.S. households with high speed Internet hcan be estimated byh = -0.2n2+ 7.2n + 1.5, where n is the number of years since 1990. Use the Quadratic Formula to determine when 20% of the population will have high speed Internet.16
5) Solve the following quadratic equation, x2= -7x – 5, selecting a method that we learned, and state why you chose that method. METHODS OF FINDING ROOTS (ZEROS) OF QUADRATIC EQUATIONS (DAY 9)METHODREASON TO USE THISMETHODQUICK PROCDURE17
Solve the equation using the QUADRATIC FORMULA, leave answers in simplest radical form.
Find the roots by COMPLETING THE SQUARE, leave answers in simplest radical form.9)3x2- 2x – 4 = 010) 02522xx19

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