Question

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answer 1

x = -2+√3i and -2-√3i

Explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and -4-2√3/2

x = -2+√3i and -2-√3i