First, make an organized list of the factors for each number. The common factors are 1, 2, 4, 8, and 16, and the greatest of these is 16. So, the greatest common factor or GCF of 48 and 64 is 16.
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Answer
x 
-1
Step-by-step explanation:
2(x - 5)² + 13 = 31
2(x - 5)(x - 5) + 13 = 21
2(x(x - 5) - 5(x - 5)) + 13 = 21
2(x(x) - x(5) - 5(x) + 5(5)) + 13 = 21
2(x² - 5x - 5x + 25) + 13 = 21
2(x² - 10x + 25) + 13 = 21
2(x²) - 2(10x) + 2(25) + 13 = 21
2x² - 20x + 50 + 13 = 21
2x² - 20x + 63 = 21
<u> - 21 - 21</u>
2x² - 20x + 42 = 0
2(x²) - 2(20x) + 2(21) = 0
<u>2(x² - 20x + 21)</u> = <u>0</u>
2 2
x² - 20x + 21 = 0
x = <u>-(-20) +/- √((-20)² - 4(1)(21))</u>
2(1)
x = <u>20 +/- √(400 - 84)</u>
2
x = <u>20 +/- √(316)
</u> 2
x = <u>20 +/- 2√(79)</u>
2
x = 10 <u>+</u> √(79)
x = 10 + √(79) U x = 10 - √(79)
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