Answer:

Step-by-step explanation:
Answer:
x∉R
Step-by-step explanation:
1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:
x=(-(-18)±√(-18)²-4×9×14)/2×9
2) Evaluate the power, calculate the product and multiply the numbers:
x=(18±√324-504)/18
3) Calculate the difference:
x=(18±√-180)/18
4) The square root of a negative number does not exist in the set of Real Numbers:
x∉R
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
Assuming the given is: 5u^7 - 21u^7
Since both algebraic terms are identical (both are using u^7), we can subtract the coefficients directly, as in: 5 - 21 = -16
Therefore, 5u^7 - 21u^7 = -16u^7