Answer:
x = ±√11 +2
Step-by-step explanation:
Given in the question an equation,
x²- 4x - 7 = 0
Step 1
take 7 to the right side of equation
x²- 4x = 7
Step 2
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b, the coefficient of x
2ab = -4x
2xb = -4x
b = -2
Step 3
Take square of b and add it to each side of the equation.
x²- 4x + (-2)²= 7 + (-2)²
x²- 4x + 4 = 7 + 4
x²- 4x + 4 = 11
Step 4
Factor the perfect trinomial square
(x−2)² = 11
Step 5
take square root on both sides
√(x−2)² = √11
(x-2) = ±√11
x = ±√11 +2
Consider the following table.
Answer: Armando used the wrong dimensions for the triangular prism.
Step-by-step explanation:
Hi, to answer this question we have to analyze Armando’s work.
Total Volume = Volume of rectangular prism + volume of triangular prism
Total Volume = 5 (8) (18) + one-half (6) (18) (8)
Total Volume= 720 + 432
Total volume = 1,152 cubic inches.
He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)
The correct way to solve this is.
Total Volume = 5 (8) (18) + one-half (6) (18) (5)
Total Volume= 720 + 270
Total volume = 990 cubic inches.
Answer:
its opposite
Step-by-step explanation:
Example:
This suggests two solutions,
and
.
However, upon plugging these solutions back into the equation, you get
which checks out, but
does not because
is defined only for
(assuming you're looking for real solutions only). So, we call
an extraneous solution, and the complete solution set (over the real numbers) is
.
