Given polynomial equation is 15x² + 8x + 3
It is a quadratic equation in the form of ax² + bx + c. So, a = 15, b = 8, c = 3
The formula to find the roots of the quadratic equation is x = [-b ± √(b² − 4ac)]/(2a)
x = [-8 ± √(8² − 4 * 15 * 3)]/(2 * 15)
= [-8 ± √(64 − 180)]/(30)
= [-8 ± √(-116)]/(30)
= [-8 + √116i]/(30) and [-8 - √116i]/(30)