Answer:
2
Step-by-step explanation:
9514 1404 393
Answer:
c) x = 6
d) x = 2
Step-by-step explanation:
In general, you want to "undo" what is done to the variable.
When variable terms are on both sides of the equal sign, you want to collect them on one side of the equal sign first. I like to do that by adding the opposite of the variable term with the lowest (most negative) coefficient.
<em>Whatever you do to one side of the equation must also be done to the other side</em>.
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c) 2(x +3) = 18
x +3 = 9 . . . . . . divide both sides by 2
x = 6 . . . . . . . . . subtract 3 from both sides
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d) 2x +15 = 27 -4x
6x +15 = 27 . . . . . . . add 4x to both sides
6x = 12 . . . . . . . . . . . subtract 15 from both sides
x = 2 . . . . . . . . . . . . . divide both sides by 2
Hello!
The discriminant of a quadratic function is found by using this formula:
D = b² - 4ac
Once you substitute the values into the formula, there are three ways your answer can be interpreted.
1. If the discriminant is positive, then there are two rational solutions.
2. If the discriminant is negative, then there are no rational solutions.
3. If the discriminant is equal to zero, then there is only one rational solution.
Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.
14² - 4(2)(11)
196 - 88 = 108
Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.
Distribute on the left
-4x+6=2x
Get x onto one side. Add 4x to both sides
6=6x
Divide both sides by 6
1=x
Final answer: x=1