Complex solutions of x^2+3x+4=0?

Step-by-step explanation:

We are given the equation:

Since the expression is not factorable with real numbers, we use the Quadratic Formula.

Quadratic Formula

Compare the expression:

a = 1

b = 3

c = 4

Substitute a = 1, b = 3 and c = 4 in the formula.

Imaginary Unit

Therefore,

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180