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exis [7]
2 years ago
7

Solve the equation, and check the solutions (√x+3)+6=3.

Mathematics
1 answer:
larisa86 [58]2 years ago
6 0

Answer:

The equation has no solution.

Step-by-step explanation:

Hi there!

First, let´s write the equation:

(√x + 3) + 6 = 3

To solve the equation, let´s subtract 6 to both sides of the equation:

√x + 3 = -3

subtract 3 to both sides of the equation:

√x = -6  (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).

Square both sides of the equation:

x = 36

Now, let´s check the solution:

(√x + 3) + 6 = 3

x = 36

(√36 + 3) + 6 = 3

(6 + 3) + 6 = 3

9 + 6 = 3

15 ≠ 3

Then, the equation has no solution.

Have a nice day!

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Given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius
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------\\
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3 years ago
1. Mark and Bill have a combined weight of 170
qwelly [4]
<h3>Equation : x + y = 170 and y = 2x - 40</h3><h3>The weight of Bill is 70 pounds and weight of mark is 100 pounds</h3>

<em><u>Solution:</u></em>

Let the weight of Bill be "x"

Let the weight of mark be "y"

Given that,

Mark and Bill have a combined weight of 170  pounds

Therefore,

x + y = 170 ------- eqn 1

Mark weighs 40 pounds less than twice Bill's  weight

y = 2x - 40 ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 2x - 40 = 170

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x = 70

<em><u>Substitute x = 70 in eqn 2</u></em>

y = 2(70) - 40

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