How do you use the quadratic formula to solve 5s^2+6x+3=0?

1 Answer
Jan 30, 2018

x = 0.2*(-3 + sqrt6color(red) i), (0.2 * (-3 - sqrt6color(red) i)

x = 0.2 * (-3 +- 2.4495 color(red)i)

Explanation:

Given Equation : 5x^2 + 6x + 3 = 0

Formula for finding the routes : (-b +- sqrt(b^2 - (4 a c))) / (2a)

where a, b c are the coefficients of x^2, x and const terms respy.

x = (-6 +- sqrt(6^2 - (4* 5 * 3))) / (2*5)

x = (-6 +- sqrt(-24))/10

x = -0.6 +- 0.2 sqrt6 i

x = -0.6 + 0.2 sqrt6color(red) i, -0.6 - 0.2 sqrt6 color(red)i