How to find real roots
[DOCX File]MR. STURDIVANT'S CLASS - Home
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Quadratic equations can have zero, one, or two real roots. You can determine the number of roots that a quadratic has by finding the discriminant (d= b 2 -4ac) and noticing:If d0, there are two real roots. Vocabulary: Quadratic, root, solution, real solution, discriminant, x ...
[DOC File]Roots of a Quadratic Equation
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Real quickly, we can see that if the discriminant is positive, that the equation has two real roots. If the discriminant is zero, then the equation has one real root of multiplicity two. Otherwise, the equation has two complex roots that are complex conjugates of one another. (We are assuming that a, b and c are real …
[DOC File]Polynomial Functions and End Behavior
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Find the roots and the multiplicity of each root for y = (2x - 10)(x – 7)(x + 1)(x+1) 5. Identify the roots and state the multiplicity for each root: (Use your calculator.) a.) f(x) = b.) Closure: How is a real root with odd multiplicity different from a real root with even multiplicity? Explain (yes in words).
[DOC File]Complex Numbers
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The roots of all equations i) to v) are either real or occur in conjugate pairs – for example – 2 + j and –2 – j. The roots of vi) are not conjugate pairs because the coefficients of the equation are not all real.
[DOC File]POLYNOMIAL PATTERNS Learning Task:
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Using these factors, find the roots of these three equations. Now knowing the roots (x-intercepts) of these equations, match each equation to its graph. y = _____ y = _____ y = _____ Although you will not need to be able to find all of the roots of higher order polynomials until a later unit, using what you already know, you can factor some ...
[DOC File]Chapter 7: Radical Functions and Rational Exponents
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Ex. #1: Finding all the Real Roots. a. Find the cube roots of 0.008 -1000 b. Find the fourth roots of 1 -0.0001 More Practice: a. Find all real fifth roots of 0, -1, 32. b. Find all real square roots of 0.0001, -1, 7-1, p.2. Parts. index radical sign. radicand. Principle Root. when there are 2 real roots …
[DOC File]Intermediate Algebra
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Pure imaginary numbers- square roots of negative real numbers. Ex. 3i, -5i, and all came from taking the square root of a negative real number. We can use the commutative and associative properties of multiplication to help us simplify pure imaginary numbers.
[DOC File]Roots of a Quadratic
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Then find the discriminant of each equation, predict the number of real roots, and find the roots (if necessary, to the nearest hundredth). Use the Gizmo to check your work. Equation x2 – 4x = –4 3x2 – 3 = –5x ax2 + bx + c = 0 Discriminant Number of real roots Real roots
[DOC File]Sum and Product of the Roots
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There is another way to find a quadratic equation given its roots that many people find useful. Look below at the roots and the equations that have those roots. Can you discover the shortcut? Roots. possible quadratic equation with those roots. What pattern do you see? Does the pattern or shortcut you discovered above work for these examples ...
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