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Verdich [7]
3 years ago
15

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning.

Mathematics
1 answer:
shusha [124]3 years ago
6 0
Start with the parentheses first

4.6 -4.4+7.8 then calculate from left to right
= 0.2+7.8 = 8
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Dentify all of the following solutions of square root of x plus 10 end root minus 4 equals x
Mrac [35]

Answer:

x = -1.

Step-by-step explanation:

√(x + 10) - 4 = x

√(x + 10) = x + 4

Squaring both sides:

x + 10 = x^2 + 8x + 16

x^2 + 8x - x + 6 = 0

x^2 + 7x + 6 = 0

(x + 6)(x + 1) = 0

<u>x = -6, -1.</u>

Check for any extraneous roots:

√(x + 10) - 4 = x

<u>Try x = -6:</u>

√(-6 + 10) - 4 = 2 - 4 = -2.

but we found x = -6  , so -6 is not a root.

<u>Try x = -1</u>:

√(-1 + 10) - 4 = 3 - 4 = -1. So x = -1 is a root.

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