Question

Complex Roots

What are the roots of the Equation 4x^2 + 12x + 15 = 0 in simplest a + bi form?

Answer 1

See below

Explanation:

QF

`x = (-12+-√(12^2 -4(4)(15)) )/(2(4)) \\x = (-12 +-√(-96) )/(8) \\x = (-12+-4√(6)i)/(8) \\x = -(3)/(2) + (4√(6)i)/(8) \\x = -(3)/(2) - (4√(6)i)/(8) \\`