To find the number of solutions, we need to solve the equation.
First, let's simplify the left side of the equation:
6 - 2x/24 = 4
Multiplying both sides by 24 to clear the fraction:
24(6 - 2x/24) = 24(4)
144 - 2x = 96
Now, let's isolate x by subtracting 144 from both sides:
144 - 144 - 2x = 96 - 144
-2x = -48
Dividing both sides by -2 to solve for x:
(-2x)/-2 = (-48)/-2
x = 24
Therefore, the equation has exactly one solution.
The correct answer is B. exactly one solution.
How many solutions does this equation have?
6−2x/24= 4
Responses
A no solutionno solution
B exactly one solutionexactly one solution
C exactly two solutionsexactly two solutions
D infinitely many solutions
7 answers
How many solutions does this equation have?
2+6x2
= 3x + 3
Responses
A no solutionno solution
B exactly one solutionexactly one solution
C exactly two solutionsexactly two solutions
D infinitely many solutions
2+6x2
= 3x + 3
Responses
A no solutionno solution
B exactly one solutionexactly one solution
C exactly two solutionsexactly two solutions
D infinitely many solutions
To find the number of solutions, we need to simplify and determine if there is equality between the two sides of the equation.
First, let's simplify the left side of the equation:
2 + 6x^2
Next, let's simplify the right side of the equation:
3x + 3
Since the left and right sides are not in the same format, we cannot directly compare them. It appears that we have an equation with a quadratic term on one side and a linear term on the other side.
This equation does not have a clear solution due to the difference in format between the left and right sides.
Therefore, the correct answer is A. no solution.
First, let's simplify the left side of the equation:
2 + 6x^2
Next, let's simplify the right side of the equation:
3x + 3
Since the left and right sides are not in the same format, we cannot directly compare them. It appears that we have an equation with a quadratic term on one side and a linear term on the other side.
This equation does not have a clear solution due to the difference in format between the left and right sides.
Therefore, the correct answer is A. no solution.
How many solutions does this equation have?
2+6/x2 = 3x + 3
Responses
A no solutionno solution
B exactly one solutionexactly one solution
C exactly two solutionsexactly two solutions
D infinitely many solutions
2+6/x2 = 3x + 3
Responses
A no solutionno solution
B exactly one solutionexactly one solution
C exactly two solutionsexactly two solutions
D infinitely many solutions
To find the number of solutions, we need to simplify and determine if there is equality between the two sides of the equation.
Let's start by rearranging the equation by subtracting (3x + 3) from both sides:
2 + 6/x^2 - (3x + 3) = 0
Next, let's find a common denominator for the fractions:
2 + (6 - 3x^3 - 3x) / x^2 = 0
We can simplify the expression:
2 + (6 - 3x^3 - 3x) / x^2 = 0
Multiplying through by x^2 to clear the denominator:
2x^2 + 6 - 3x^3 - 3x = 0
Rearranging terms:
-3x^3 - 3x + 2x^2 + 6 = 0
Now we have a cubic equation. The number of solutions for this equation can vary. It could have no solution, one solution, two solutions, or even more depending on the values of the coefficients.
Therefore, the correct answer is D. infinitely many solutions.
Let's start by rearranging the equation by subtracting (3x + 3) from both sides:
2 + 6/x^2 - (3x + 3) = 0
Next, let's find a common denominator for the fractions:
2 + (6 - 3x^3 - 3x) / x^2 = 0
We can simplify the expression:
2 + (6 - 3x^3 - 3x) / x^2 = 0
Multiplying through by x^2 to clear the denominator:
2x^2 + 6 - 3x^3 - 3x = 0
Rearranging terms:
-3x^3 - 3x + 2x^2 + 6 = 0
Now we have a cubic equation. The number of solutions for this equation can vary. It could have no solution, one solution, two solutions, or even more depending on the values of the coefficients.
Therefore, the correct answer is D. infinitely many solutions.
U sure
Apologies for the confusion. My previous response was incorrect. Let's revisit the problem to determine the correct number of solutions.
We have the equation:
2 + 6/x^2 = 3x + 3
Let's start by simplifying the equation. Multiply through by x^2 to clear the fraction:
2x^2 + 6 = 3x^3 + 3x^2
Rearranging the terms:
3x^3 + 3x^2 - 2x^2 - 6 = 0
3x^3 + x^2 - 6 = 0
Unfortunately, this is still a cubic equation. It is challenging to determine the exact number of solutions without further information or techniques like factoring, graphing, or using numerical methods.
Without additional information or context, we cannot determine the specific number of solutions for this equation. Therefore, the answer is unclear.
We have the equation:
2 + 6/x^2 = 3x + 3
Let's start by simplifying the equation. Multiply through by x^2 to clear the fraction:
2x^2 + 6 = 3x^3 + 3x^2
Rearranging the terms:
3x^3 + 3x^2 - 2x^2 - 6 = 0
3x^3 + x^2 - 6 = 0
Unfortunately, this is still a cubic equation. It is challenging to determine the exact number of solutions without further information or techniques like factoring, graphing, or using numerical methods.
Without additional information or context, we cannot determine the specific number of solutions for this equation. Therefore, the answer is unclear.
1 answer