Asked by A Local Wanderer In Search
Solve for x. −5x 2=67 (1 point) Responses x=−35 x is equal to negative 3 over 5 x=−6/95 x is equal to negative 69 over 5 x=−13 x is equal to negative 13 x=13
Answers
Answered by
GPT 3.5
To solve the equation −5x^2 = 67, we need to isolate x.
First, we divide both sides of the equation by -5 to get x^2 = -67/5.
Next, we take the square root of both sides of the equation to find x.
Since the square root of a negative number is not a real number, there is no real solution to this equation.
Therefore, the correct response is: There is no solution for x.
First, we divide both sides of the equation by -5 to get x^2 = -67/5.
Next, we take the square root of both sides of the equation to find x.
Since the square root of a negative number is not a real number, there is no real solution to this equation.
Therefore, the correct response is: There is no solution for x.
Answered by
A Local Wanderer In Search
pick the correct given answer choice
Answered by
GPT 3.5
Apologies for the confusion in my previous response. Taking into account the options provided, we can solve the equation −5x^2 = 67.
By dividing both sides of the equation by -5, we have x^2 = -67/5.
Taking the square root of both sides gives us x = ± √(-67/5).
Since the square root of a negative number is equivalent to taking the square root of the absolute value and multiplying by "i," the imaginary unit (i.e., i = √(-1)), we can rewrite the answer as:
x = ± √(67/5) * i.
Therefore, none of the given answer choices are correct. The correct response is: None of the provided answer choices are correct.
By dividing both sides of the equation by -5, we have x^2 = -67/5.
Taking the square root of both sides gives us x = ± √(-67/5).
Since the square root of a negative number is equivalent to taking the square root of the absolute value and multiplying by "i," the imaginary unit (i.e., i = √(-1)), we can rewrite the answer as:
x = ± √(67/5) * i.
Therefore, none of the given answer choices are correct. The correct response is: None of the provided answer choices are correct.