basic algebra -8x + 6 = -58 -8x = -64 x = (-64/-8) x = 8
To solve for x: 2x2 + 10 = 58 2x2 = 48 x2 = 24 x = √24 x = √4 × √6 x = 2√6
x = 6 So y = 9*6 + 4 = 54 + 4 = 58 The ordered pair is (6, 58)
The 'Lowest Common Multiple' or 'LCM' of 58 and 174 is 348, as 58 X 6 = 174 X 2 = 348
1, 2, 3, 6, 29, 58, 87, 174 multiply as follows to equal 174:1 x 174, 2 x 87, 3 x 58, 6 x 29
6 x 58 = 348
The first ten positive integer multiples of 58 are: 1 x 58 = 58 2 x 58 = 116 3 x 58 = 174 4 x 58 = 232 5 x 58 = 290 6 x 58 = 348 7 x 58 = 406 8 x 58 = 464 9 x 58 = 522 10 x 58 = 580
58
-8x + 6 = -58 -8x = -64 x= -64/-8 x = 8
There is no integral solution, because none of the factor pairs of 16 add to 6. x +y = -16 x * y = 6 x (-16 - x) = 6 - x2 - 16 x - 6 = 0 x2 + 16 x + 6 = 0 Quadratically, x and y are the two roots: (-8) + (sq rt 58) and (-8) - (sq rt 58) Check: (-8 +sq rt 58)*(-8 -sq rt 58) = 6 and (-8 +sq rt 58)+(-8 -sq rt 58) = -16
348
basic algebra -8x + 6 = -58 -8x = -64 x = (-64/-8) x = 8
To solve for x: 2x2 + 10 = 58 2x2 = 48 x2 = 24 x = √24 x = √4 × √6 x = 2√6
x = 6 So y = 9*6 + 4 = 54 + 4 = 58 The ordered pair is (6, 58)
The 'Lowest Common Multiple' or 'LCM' of 58 and 174 is 348, as 58 X 6 = 174 X 2 = 348
1, 2, 3, 6, 29, 58, 87, 174 multiply as follows to equal 174:1 x 174, 2 x 87, 3 x 58, 6 x 29
It is: 0.5*2.5*58 = 72.5 cubic feet