Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is 
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:
The complex numbers have opposite real numbers.
2.
To do the comparison, we'll use the following temperatures:
Day 1: 5°F
Day 2 : 1.5°F
Comparison of Day 1 and Day 2:
or
Comparison of days with absolute value:
or
3.
The temperature that's the closest to 0 during the week is -0.5°F. Using absolute value, we can see that the distance from 0°F to -0.5°F is the smallest of all the temperature measurements.
4.
The temperature that's the farthest to 0 during the week is 5°F. Using absolute value, we can see that the distance from 0°F to 5°F is the biggest of all the temperature measurements.
5.
The coldest temperature is -4°F. This is the value that is farthest to the left of 0°F on the number line.
6.
The warmest temperature is 5°F. This is the value that is farthest to the right of 0°F on the number line.
23 - (-14) = 23 + 14 = <em><u>37</u></em>
128 - (-105) = 128 + 105 = <em><u>233</u></em>
