Question

What are the solutions to this equation?
-7 + (x² -19) + 3/4 = 40

Answer 1

The solutions to the equation -7 + (x² -19) + 3/4 = 40 are x = (7 ± √1074) / 2

Step-by-step explanation:

This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 1, b = -7, and c = -256.25. Its solutions are given by the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values into the quadratic formula, we get:

x = (-(-7) ± √((-7)² - 4(1)(-256.25))) / (2(1))

Simplifying further:

x = (7 ± √(49 + 1025)) / 2

x = (7 ± √1074) / 2