0.705479814459 as a fraction is:<span>705479814459/1000000000000</span>
Answer:
<u>Solution</u><u> </u><u>given</u><u>:</u>
<u>one</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u><u> </u><u>must</u><u> </u><u>be</u><u> </u><u>less</u><u> </u><u>than</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>other</u><u> </u><u>side</u><u> </u><u>.</u>
<u>by</u><u> </u><u>making</u><u> </u><u>these</u><u> </u><u>sense</u><u>:</u>
3<10+20
10<20+3
20<10+3not true
these three side are not possible.
again
10<20+25
20<25+10
25<20+10
these three side are true so
required side are:
Side 1:10
Side 2:25
Side 3:20
Answer: D) 4
<u>Step-by-step explanation:</u>
x⁴ - x³ - 9x² + 7x + 14 = 0
possible rational roots are: ±{1, 2, 7, 14}
Try x = -1
-1 | 1 -1 -9 7 14
<u>| ↓ -1 2 7 -14</u>
1 -2 -7 14 0 ← remainder is 0 so x = -1 is a root
Let's try x = 2 with the factored polynomial
2 | 1 -2 -7 14
<u>| ↓ 2 0 -14 </u>
1 0 -7 0 ← remainder is 0 so x = 2 is a root
Factored polynomial x² - 7 can be factored to:
(x - √7) (x + √7)
⇒ x = √7 and x = -√7
The roots are x = {-1, 2, √7, -√7) which are all real numbers.