To rewrite the given statement into a quadratic equation, we start by interpreting the components and translating the wording into mathematical expressions.
The statement is: "the product of negative six and a number squared, plus the product of five and the same number is thirty-one."
Breaking it down:
- The number is represented as \( x \).
- The product of negative six and a number squared is represented as \( -6x^2 \).
- The product of five and the same number is represented as \( 5x \).
Putting it all together, the equation based on the wording can be written as:
\[ -6x^2 + 5x = 31 \]
To match the choices given:
A. -6x^2 + 5x + 31
B. -6x^2 + 5x = 31
The correct equivalent quadratic equation is:
B. -6x^2 + 5x = 31.
1 answer