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Problem

Solve each equation. Check your solutions. $$ r=\…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85

Problem 45 Easy Difficulty

Solve each equation. Check your solutions.
$$
x=\sqrt{\frac{6-13 x}{5}}
$$

Answer

$\left\{\frac{2}{5}\right\}$

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Precalculus

Algebra

Beginning and Intermediate Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

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Equations and Inequalities

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Video Transcript

for Exercise 47. We have X squared equal to 6 -13 x over five. Then we'll have five X squared equal to six minus 13 X. Moving everything to the left hand side, we have five X squared plus 13 X minus six equals zero. Which we might be able to factor. So let's give it a shot. We have five X and X. We'll have mhm hmm. It doesn't look like it's going to factor. Maybe if we have three and two. So if this is three and this is two would work as long as oh no, this would have to be to this would have to be three Positive and two would be negative. That satisfies the equation. Now X cannot equal negative number. So accident only equal 2/5. But let's check to see if it even can equal that. So we have 2/5 equal to root six minus 13 times 2/5 divided by five. And then let's check with that equals so that's six minus 26 5th over five. And what that equals is 4/5 over five, which is four over 25. And so we have two or five equal to to over five now, So x can equal 2/5

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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