To find the value of ‘c’ in the quadratic equation given in the standard form ax² + bx + c = 0, we need to identify the coefficients from the equation 3x² + 5x + 7 = 0.
In this equation:
- a (the coefficient of x²) = 3
- b (the coefficient of x) = 5
- c (the constant term) = 7
Therefore, the value of ‘c’ is 7.
In general, quadratic equations are structured in this form, and recognizing the coefficients helps us to proceed with methods such as factoring, completing the square, or using the quadratic formula to solve for the variable x.
If we were to use the quadratic formula x = (-b ± √(b² – 4ac)) / (2a), substituting our values:
- a = 3
- b = 5
- c = 7
However, since the question specifically asks for the value of ‘c’, we can conclude with confidence that the answer is simply 7.