Quadratic equation calculator with roots
[DOC File]Quadratic Equations - Department of Mathematics
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The solutions to are called the roots of the equation. Find the x-intercepts of the graph of i.e., solve . Example 6: Find the x-intercepts of the graph of i.e., solve . Quadratic formula. Another method of solving where , a, b, and c are real numbers is to use the quadratic formula: . Notice that if
[DOC File]Quadratic Warm-up Activity
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A calculator. A piece of paper to work the problem out on. Before the students come to class, put the answer cards on individual desks. When the students come to class, hand them a question card. ... This activity reinforces the use of the quadratic formula, simplifying roots, and the finding of the discriminant.
[DOC File]Finding the Vertex of a Quadratic Function
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The students should be able to use a graphing calculator to perform the following tasks: input equation, graph, examine table of values and find the minimum or maximum value in range. Students need to be able to evaluate a quadratic function for a given value. Parts of the lesson could be completed without the use of a graphing calculator.
[DOC File]YEAR 12 QUADRATIC THEORY
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16. Prove that the equation : x2 + bx + b2 = 0 can only have . unreal solutions for real values of b. Δ = b2 – 4b2 = – 3b2 . Since b2 is positive then – 3b2 must be negative so the equation can only have unreal solutions. 17. Prove that the equation : ax(x + 1) = b(x + 1) has real roots for . all real values of a and b. ax2 + ax = bx + b
[DOC File]Quadratic Roots Homework - Mr. Nickels
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Jacob is solving a quadratic equation. He executes a program on his graphing calculator and sees that the roots are real, rational, and unequal. This information indicates to Jacob that the discriminant is (1) zero (3) a perfect square
[DOC File]Topic: Geometric definitions - ToolboxPRO
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By the Quadratic Formula Solve the equation two ways. By Factoring. By the Quadratic Formula If the quadratic formula is used to solve the equation , the correct roots are (3) (4) The quadratic function is shown below. Find the zeros of this function in simplest radical form by using the quadratic equation.
[DOC File]ALGEBRA II
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8. If a quadratic has a double root, what is true about the number of solutions? One real Solution or Two real Solutions 9. Synonym for the roots of a quadratic equation: x-intercepts or y-intercepts. 10. A quadratic function with roots of 5 and –2: y = (x + 5)(x – 2) or y = (x – 5)(x + 2) PERFORM THE OPERATIONS WITHOUT A CALCULATOR: 11.
[DOC File]Review Sheet for Chapter Two - Herrera's Math
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Without a calculator. Solve any quadratic equation by Section 1-5. factoring. taking square roots. using the quadratic formula. Use the discriminant to determine number of roots of a quadratic function In class notes. Put any quadratic equation in vertex form by completing the square Sections 1-5 and 3-4.
[DOC File]Unit #3: Investigating Quadratics (9 days + 1 jazz day + 1 ...
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Roots: and Equation: Roots: and 3.1.4 Quadratic Equation vs. Quadratic Function (continued) On a separate piece of paper, compare quadratic functions and quadratic equations. Examine the table and generalize the similarities and differences within a row. Complete the following table. Function x-intercepts/zeros -2 and 5 and 0 and 3 Write ...
[DOC File]ALGEBRA 2 X
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8. For each problem below, you are given the roots of an equation. Find the factors, then write the equation in standard form. a) 3 and – 4 b) -17 and –5 _____ _____ 9. Use your calculator to find the following information for the quadratic function . Vertex is_____ zeros are _____
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