-70
Let the number 'm' & 'n' Hence # Multiplication mn = - 1344 Added m + n = 43 We have two unknowns , So we eliminate one of them . Hence mn = -1344 m = 43 - n Substitute (43 - n) n = -1344 43n - n^(2) = -1344 n^(2) - 43n - 1344 = 0 We now have quadratic eq;n to solve Hence n = { --43 +/- sqrt[(-43)^(2) - 4(1)(-1344)]} / 2(1) n = { 43 +-/ sqrt[ 1849 + 5376]} / 2 n = { 43 +/-sqrt[ 7225] } / 2 n = { 43 +/- 85}/2 n = 128/2 = 64 & n = - 42/2 = -21 Verification 64 X -21 = -1344 64 - 21 = 43 So the two numbers are '-21' & '64'.
The numbers are 10 and 5.2
-2
8, 5 and 2
The numbers are: 30 and -30
-9+4
5
2.4115 and 33.5885 (to 4 dp)
The numbers are 1 and 10.
10
266
The two numbers that satisfy both conditions are -4 and -5. When multiplied together, -4 × -5 equals 20, which does not meet the requirement. However, if we consider the correct numbers, they are 1 and -10. When multiplied, 1 × -10 equals -10, and when added, 1 + (-10) equals -9. To meet the criteria, the correct pair is 4 and -5, where 4 + (-5) equals -1, which does not meet the requirement either. Upon reevaluation, the numbers do not exist that fit both conditions simultaneously.