Answer:
2 works
-3 is extraneous
Step-by-step explanation:
sqrt(x + 7) - 1 = x Add 1 to both sides
sqrt(x + 7) = x + 1 Square both sides
(x + 7) = (x + 1 )^2
x + 7 = x^2 + 2x + 1 Subtract x from both sides
0 = x^2 + x + 1 -7
0 = x^2 + x - 6 This will factor
(x + 3)(x - 2) = 0 Find the values for x
x + 3 = 0
x = - 3
x - 2 = 0
x = 2
Now you must check this to see if both values work
sqrt(-3 + 7) - 1 = -3
sqrt(4) - 1 = -3
2 - 1 =? - 3
1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2
sqrt(2 + 7) - 1 = 2
sqrt(9) - 1 = 2
3 - 1 = 2
2 = 2
1.3 kg = 1,300 grams
1300 - 700 = 600 grams
So 1.3kg is 600 grams heavier than 700 grams.
<span>50 = 5 × 10 + 0 × 1 (5
in the tens place, and 0 in units). </span><span>
<span>We can write each place as a power of ten: </span>
<span>50 = 5 × 10^1 + 0 × 10^0 </span>
<span>Similarly for hexadecimal and binary, but then
using powers of 16 and 2 respectively. </span>
<span>We need to find the digits of the hexadecimal
form. Or in other words, we need to find a and b: </span>
<span>50 = a × 16 + b × 1 </span>
<span>Simply divide 50 by 16 will get you a with some
remainder, which is a multiple in units, and thus b: </span>
<span>50 / 16 = 3 (=a), remainder 2. </span>
<span>[2 / 1 = 2 (=b), remainder 0] </span>
<span>Thus 50 in hexadecimal is "32". </span>
<span>For binary, we need to do the division a couple of
times more to find all digits. </span>
<span>50 = a × 32 + b × 16 + c × 8 + d × 4 + e × 2 + f ×
1 </span>
<span>50 / 32 = 1 (=a), remainder 18 </span>
<span>18 / 16 = 1 (=b), remainder 2 </span>
<span>2 / 8 = 0 (=c), remainder 2 </span>
<span>2 / 4 = 0 (=d), remainder 2 </span>
<span>2 / 2 = 1 (=e), remainder 0 </span>
<span>[0 / 1 = 0 (=f), remainder 0] </span>
<span>We find that 50 in binary is "110010".</span></span>