Question

Write the equation of a quadratic whose roots are (-37) and (25).

A. (5x² + 7x - 3 = 0)

B. (7x² + 3x - 5 = 0)

C. (3x² - 7x + 5 = 0)

D. (x² - 3x + 7 = 0)

Answer 1

The equation of a quadratic with roots (-37) and (25) is x² + 12x - 925 = 0.

Step-by-step explanation:

The equation of a quadratic with roots (-37) and (25) can be found using the relationship between the roots and the coefficients of a quadratic equation. The equation can be written in the form ax² + bx + c = 0, where the roots are x = -37 and x = 25.

From the roots, we can find the factors of the equation: (x + 37) and (x - 25).

Multiplying these factors gives us the quadratic equation: (x + 37)(x - 25) = 0.

Expanding the equation gives us the final quadratic equation: x² + 12x - 925 = 0.