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Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 1 - Problem 4
Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 1 - Problem 4

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# For each of the following quadratic equations, find the discriminant and hence draw its

ISBN: 9781921972089 446

## Solution for problem 4 Chapter 1

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 4

For each of the following quadratic equations, find the discriminant and hence draw its sign diagram. Find all values of k for which the equation has: i two distinct real roots ii two real roots iii a repeated root iv no real roots. a 2x2 + kx k = 0 b kx2 2x + k = 0 c x2 + (k + 2)x +4=0 d 2x2 + (k 2)x +2=0 e x2 + (3k 1)x + (2k + 10) = 0 f (k + 1)x2 + kx + k = 0

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Lecture 4: Inverse Functions (Section 1.5) Read pp. 33−37 of the textbook and then ﬁll out the ﬁrst and half pages (before the ﬁrst example) below before class. 1. One-to-one functions Def. Au fn f is called a one-to-one function if for any x1and x i2 the domain: if 1 ▯= x2then • Horizontal Line Test 2. Inverse functions Def. Let f be a one-to-one function with domain A and range B.T nisaqirnt f−1 : B → A which assigns to each y in B the unique x value inA given by f−1(y)= x if and only if • If (x,y)iapitntegphof f(x), then Therefore, the graph of f−1 is the graph of f reﬂected through the line

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##### ISBN: 9781921972089

The answer to “For each of the following quadratic equations, find the discriminant and hence draw its sign diagram. Find all values of k for which the equation has: i two distinct real roots ii two real roots iii a repeated root iv no real roots. a 2x2 + kx k = 0 b kx2 2x + k = 0 c x2 + (k + 2)x +4=0 d 2x2 + (k 2)x +2=0 e x2 + (3k 1)x + (2k + 10) = 0 f (k + 1)x2 + kx + k = 0” is broken down into a number of easy to follow steps, and 91 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions. Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3. The full step-by-step solution to problem: 4 from chapter: 1 was answered by , our top Math solution expert on 03/15/18, 06:04PM. Since the solution to 4 from 1 chapter was answered, more than 245 students have viewed the full step-by-step answer.

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