Find all solutions to the equation 6x^2 - 31x + 42 = 0. If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in a + bi form.
Lets solvie this:
6x2−31x+42=0
−(−31)±√(−31)2−4⋅6⋅422⋅6
−(−31)±√47i2⋅6
separate: x1=−(−31)+√47i2⋅6,x2=−(−31)−√47i2⋅6
x=3112+√4712i,x=3112−√4712i
Lets solvie this:
6x2−31x+42=0
−(−31)±√(−31)2−4⋅6⋅422⋅6
−(−31)±√47i2⋅6
separate: x1=−(−31)+√47i2⋅6,x2=−(−31)−√47i2⋅6
x=3112+√4712i,x=3112−√4712i