Answer: Another golden rectangle
Step-by-step explanation:
Since it is a rectangle, cutting the largest possible square from one end, the remaining piece of the rectangle can either be a square or a rectangle
The remaining piece of the golden rectangle will therefore be another golden rectangle.
Distribute 3 throught the parentheses
Move the variable to the left-hand side and change its sign
Move the constant to the right-hand side and change its sign
Collect like terms
Divide both sides of the equation by -3
Your basically building a new equation with the two functions given to you.
(sqrt(3x + 7)) + (sqrt(3x - 7)) = 0
Then just open up the brackets and simplify further.
sqrt(3x + 7) + sqrt(3x - 7)= 0
Nothing to special really happened there, just removed the brackets. Now you move one of the radicals to the other side so you can square the whole equation.
sqrt(3x + 7) = - sqrt(3x - 7)
Then go ahead and square both sides to remove the radical.
3x + 7 = 3x - 7
Now if you kept trying to isolate x, you find that both sides will just cancel each other out and you are left with,
7 = -7
Since that statement isn't true your answer will be that there is no solution to this equation.
x ∈ Ø
Answer:
The solution is the area x < 67/5
Step-by-step explanation:
Perform the indicated multiplication. We get:
9x - 27 < 4x + 40
Combining like terms results in:
5x < 67
Then the solution is the area x < 67/5