The Quadratic Formula
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Solving Quadratic Equations Using the Quadratic Formula
www.lavc.eduElementary Algebra Skill Solving Quadratic Equations Using the Quadratic Formula Solve each equation with the quadratic formula. 1) 3 n2 − 5n − 8 = 0 2) x2 + 10x + 21 = 0 3) 10x2 − 9x + 6 = 0 4) p2 − 9 = 0 5) 6x2 − 12x + 1 = 0 6) 6n2 − 11 = 0 7) 2n2 + 5n − 9 = 0 8) 3x2 − 6x − 23 = 0 9) 6k2 + 12k − 15 = −10 10) 8x2 − 14 = −11
Solve each equation with the quadratic formula.
cdn.kutasoftware.comUsing the Quadratic Formula Date_____ Period____ Solve each equation with the quadratic formula. 1) v2 + 2v − 8 = 0 {2, −4} 2) k2 + 5k − 6 = 0 {1, −6} 3) 2v2 − 5v + 3 = 0 {3 2, 1} 4) 2a2 − a − 13 = 2 3, − ...
Solve each equation with the quadratic formula.
cdn.kutasoftware.comUsing the Quadratic Formula Date_____ Period____ Solve each equation with the quadratic formula. 1) m2 − 5m − 14 = 0 2) b2 − 4b + 4 = 0 3) 2m2 + 2m − 12 = 0 4) 2x2 − 3x − 5 = 0 5) x2 + 4x + 3 = 0 6) 2x2 + 3x − 20 = 0 7) 4b2 + 8b + 7 = 4 8) 2m2 − 7m − 13 = −10-1- ©d n2l0 81Z2 W 1KDuCt8a D ESZo4fIt UwWahr Ze j eL 1L NCS.f R ...
9.4 Quadratics - Quadratic Formula - CCfaculty.org
www.wallace.ccfaculty.org3. Otherwise, solve by the quadratic formula x2 − 3x +4=0 x = 3 ± ( − 3) 2 − 4(1)(4) p 2(1) x = 3 ± i 7 √ 2 The above table is mearly a suggestion for deciding how to solve a quadtratic. Remember completing the square and quadratic formula will always work to solve any quadratic. Factoring only woks if the equation can be factored.
Add Maths Formulae List: Form 4 (Update 18/9/08)
www.one-school.net02 Quadratic Equations General Form ax2 +bx +c =0 where a, b, and c are constants and a ≠ 0. *Note that the highest power of an unknown of a quadratic equation is 2. Quadratic Formula x = −b± b2 −4ac 2a When the equation can not be factorized. Forming Quadratic Equation From its Roots: If α and β are the roots of a quadratic equation b ...
Mathematics (Linear) 1MA0 QUADRATIC FORMULA
www.mathsgenie.co.ukQUADRATIC FORMULA Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate ...
Higher Maths Quadratic Formula Worksheets
www.obhs.co.uk2) Find the discriminant of each of the quadratic equations on the green task sheet (the discriminant is just the section of the formula that lies under the square root – i.e. b2 – 4ac) Equation Discriminant (b2-4ac) Solutions (from task sheet) - 216x + 3x - 12 = 0 x2 – 4x – 7 = 0 4x2 + 8x = 96 7x2 + 10 = 37x
PRIMARY CONTENT MODULE Algebra - Linear Equations ...
www.csun.eduStep 2: Use the formula y = mx + b to determine the y-intercept, b. Replace x and y in the formula with the coordinates of one of the given points, and replace m with the calculated value, (2). y = mx + b If we use (1,3) and m = 2, we have 3 = 2 • 1 + b 3 = 2 + b 1 = b or b = 1 …
Factoring and Solving Quadratic Equations Worksheet
math.uiowa.eduFactoring and Solving Quadratic Equations Worksheet Math Tutorial Lab Special Topic Example Problems Factor completely. 1. 3x+36 2. 4x2 +16x 3. x2 14x 40 4. x2 +4x 12 5. x2 144 6. x4 16 7. 81x2 49 8. 50x2 372 9. 2x3 216x 18x 10. 4x2 +17x 15 11.
Name: GCSE (1 – 9) Quadratic Sequences
www.mathsgenie.co.ukGCSE (1 – 9) Quadratic Sequences Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided
Quadratic Equations By Completing the Square
cdn.kutasoftware.comSolving Quadratic Equations By Completing the Square Date_____ Period____ Solve each equation by completing the square. 1) p2 + 14 p − 38 = 0 2) v2 + 6v − 59 = 0 3) a2 + 14 a − 51 = 0 4) x2 − 12 x + 11 = 0 5) x2 + 6x + 8 = 0 6) n2 − 2n − 3 = 0 7) x2 + 14 x − 15 = 0 …