Well you can divide by 8 and it gives you 3/2or you can divide by 4 and get 6/4 then divide by 2 and get 3/2 either way there both correct
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
Answer: 12
Step-by-step explanation:
2x + 8 = 3x - 4
In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!
Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.
2x + 8 - 8 = 3x - 4 - 8
Simplify!
2x = 3x - 12
Now, let's subtract 3x from both sides.
2x - 3x = 3x - 12 - 3x
Simplify!
-x = -12
Divide both sides by -1.
-x ÷ -1 = -12 ÷ -1
Simplify.
x = 12
First Division, next Addition and Subtraction (left-to-right)
4 + 8 : 2 - 1 = 4 + 4 - 1 = 8 - 1 = 7
<h3>Answer: b. 7</h3>
Assuming, it's decimal logarithm.
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