Answer:


Step-by-step explanation:
<u>Quadratic Equation Solving</u>
We have the equation:

Divide by 8:

Now complete the squares so the left side is a perfect square of a binomial:

Factoring the perfect square:

Taking the square root:

The square root of a negative number is an imaginary number:

Solving for x:

The solutions are:


The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
Learn more about area of rectangular table here:
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Answer is G
with or without the 10, you are going to get 5 as your answer to the equation