+0  
 
0
63
1
avatar

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.

 Jan 24, 2022
 #1
avatar+514 
+3

To get the solutions, we must first apply the quadratic formula to the equation above. 

 

The quadratic formula is: \(-b {+\over} \sqrt{b^2 - 4ac}\over2a\) where \(a\) is the coefficient of \(x^2\)\(b\) is the coefficient of \(x\), and \(c\) is the constant.

 

Now to apply it.

\(31 {+\over} \sqrt{961 - 1008}\over12\) 

Now we have the two solutions.

 

Here they are:

 

\(31 + i\sqrt{47}\over12\) , \(31 - i\sqrt{47}\over12\)

 

 

smiley

 Jan 24, 2022

43 Online Users

avatar
avatar
avatar