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.
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
3 answers
pick the correct given answer choice
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.