Question

Write the number as the sum of two primes. (a) 30 (b) 38 (c) 42 (d) 52

          Write the number as the sum of two primes. (a) 30 (b) 38 (c) 42 (d) 52
        

Added by Ismael H.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Write the number as the sum of two primes. (a) 30 (b) 38 (c) 42 (d) 52
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Transcript

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00:01 In this problem, we're being asked to find two integers whose product is given in the first column and whose sum is given in the second column.
00:07 So let's start with row a.
00:09 So we want to find two integers whose product is negative 50, but when we add them together, we get five.
00:15 Well, i'm first thinking for two factors that multiply to 50, i'm thinking of 10 and 5.
00:21 In order to get a sum of 5, i would have to do positive 10 and negative 5.
00:25 And to check, 10 times negative 5 is negative 50, but 10 might have to be a sum of 5.
00:30 And as 5 is 5.
00:31 Perfect.
00:32 Now, let's go to row b.
00:34 So we need to figure out two integers.
00:36 When we multiply, we get 27, but when we add, we get negative 28...
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