<span>Given, y^2 - 14y = -44
Add 44 to both sides of the equation
</span>y^2 - 14y + 44 = -44 + 44<span>
</span>y^2 - 14y + 44 = 0
Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a
Where,
a = 1
b = -14
c = 44
x = [-b ± √(b² - 4ac)]/2a
x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)
x = [14 ± √(196 - 176)]/2
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 4.472)/2 OR (14 - 4.472)/2
x = 18.472/2 OR 9.528/2
x = 9.236 OR 4.764
The solution set is {9.236, 4.764}
TO EXPRESS THE ANSWER IN RADICALS
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 2√5)/2 OR (14 - 2√5)/2
<span>x = 7+√5 OR 7-√5
</span>
The solution set is {7+√5, 7-√5}
This is a number you will have memorized in grade school. If not, you can always perform long division of 2 by 3 to find it---or ask your calculator.
2/3 = 0.6666_6 . . . . . . repeating 6s indefinitely
____
Most folks get tired of writing 6s after a couple million of them, so they round it off to 0.67 or 0.667. These rounded values are NOT exactly 2/3.
Answer:
80
Step-by-step explanation:
Following the order of operations (PEMDAS), you would first multiply 10 by 6 to get 60. You would then add 20 to the product to get your answer.
(10 · 6) + 20
60 + 20 = 80
It's the group of correct solutions to a given problem.
Imagine you have apples, pears and peaches you're asked <em>"what fruits do you have"</em>? Your solution set would be {apple, pear, peach}.
