in-9-14-a-for-each-given-value-of-the-discriminant-of-a-quadratic-equation-with-rational-coefficie-3

Question

In $9-14$ : a. For each given value of the discriminant of a quadratic equation with rational coefficients, determine if the roots of the quadratic equation are $(1)$ rational and unequal, $(2)$ rational and equal, $(3)$ irrational and unequal, or $(4)$ not real numbers. b. Use your answer to part a to determine the number of $x$ -intercepts of the graph of the corresponding quadratic function. 
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Sanchit Gogia · Accepted Answer

given a disco menti is equal to see Well, we can tell that roots of the equation would be rational, and they will be equal No calling to be. Since the boots are equal, there&#x27;s only one X intercept.

Sanchit Gogia · Answer

you know, this community is equal to minus four. Begin. Tell from that that the boots are It was not real. Thank you. Not exist. So they&#x27;re irrational to Andi. From that we can tell that there was zero intercept.

Sanchit Gogia · Answer

Kim Indiscriminate D is equal to nine. That means that is squid 10 and it&#x27;s a perfect square. So but that we can tell that the boots are rational and send That&#x27;s not zero. They are on e clothes, no into Part B. Since he&#x27;s not zero X touches the cortege exacts of the two different points. So there two X and ourselves. Uh huh.

Alice . · Answer

it&#x27;s on this problem. We&#x27;re trying to find out whether or not using to discriminate, what kind of routes we&#x27;re going to get from a certain a certain quadratic equation. So we have a ghostly things with left conditions for the indiscriminate. So if the discriminative greater than zero, then we know that the equation will have to rail routes. We know that it&#x27;s equal. Does your little heart. Repeated rates in less than three means that there&#x27;s imaginary weeds. So since ah, the discriminate for this problem is given to the 12 we know that 12 is greater than zero. So there&#x27;s two real roots, so it would be like X intersects. So using that information, we know that the discriminate goes into the square were part of the quadratic formula, so that would tell us whether or not we&#x27;re going to have, um, rational routes. So the square root of 12 it&#x27;s improvise out 2 to 3. We can&#x27;t really take the square root of three cleanly, so we know that this is a rational. So that&#x27;s how we know that the roots of this are going to be irrational and real

Sanchit Gogia · Answer

given the discriminating T Z quitting 49 we can say that square to zero and that it&#x27;s a perfect square. So that tells us that the roots are rial. They&#x27;re rational. And since it&#x27;s not zero, they&#x27;re not equal. So according to a begin, tell that there two x inter sets.

Alice . · Answer

in this problem, we&#x27;re showing that, um, using the discriminatory, we&#x27;re going to be able to find whether or not there&#x27;s ah, what types of solutions the polynomial will have. So we know that doesn&#x27;t scream in it in this problem is, um, five. Let me just get that up and by players, So the discriminative problem is five. So since it&#x27;s five, we know that since there are these three cases, if the discriminates greater than zero, then there&#x27;s two riel roots. Indiscriminate is equal to zero. There&#x27;s a repeated route, and that discriminate is less than zero. There&#x27;s two imaginary roots, so since five is greater than zero, we know there&#x27;s gonna be two to really roots, so we can say that to riel rates. So now that we have that, let&#x27;s find out whether or not the real roots are gonna be rational. So since the determinant goes into a square root, but the rest of it is in a square root, knowing whether the part that goes into the square root become is a perfect square, we&#x27;ll give us well, they&#x27;re not. It&#x27;s rational or irrational, so since square at five is not a perfect square, then we know that it&#x27;s going to be, too. It&#x27;s gonna be irrational roots, so that&#x27;s how you would solve this.

Problem

In $9-14$ : a. For each given value of the discri…

Problem 11 Easy Difficulty

Answer

(a) rational number, equal
(b) 1 x-intercept

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

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Absolute Value - Example 1

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(a) rational number, equal(b) 1 x-intercept

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

Heather Z.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Anna Marie V.

Heather Z.

Michael J.

(a) rational number, equal
(b) 1 x-intercept

Ann Xavier Gantert

Algebra 2 and Trigonometry