Answer:
Step-by-step explanation:
X^2-3x=7/4 should first be rewritten in standard form, which here would be:
x^2 - 3x - 7/4 = 0.
1. Identify the coefficient of the x term and take half of that number:
-3/2
2. square this result: (-3/2)^2 = 9/4
3. add this last result, 9/4, between the -3x term and the -7/4 term, and then subtract it as shown:
x^2 - 3x + 9/4 - 9/4 - 7/4 = 0
4. Rewriting the first 3 terms as the square of a binomial, we get:
(x - 3/2)^2 - 16/4 = 0, or (x - 3/2)^2 = 16/4
5. Take the square root of both sides, obtaining:
x - 3/2 = ±√4/2 or ±√2
6. Write out the two roots: x = 3/2 + √2
and x = 3/2 - √2
<span>24: 24, 48, 72, 96, 120,
144, 168, 192, 216, 240, <span>264, 288 ,312, 336, 360, 384,
408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768,
792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080
</span></span>30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450,
480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930,
960, 990, 1020, 1050, 1080
54: 54, 108, 162, 216, 270, 324, 378, 442, 486, 540, <span>594, 648, 702, 756, 810,
864, 918, 972, 1026, 1080
1080p.</span>
