Solve 2x2 − 3x + 6 = 0. x equals the quantity of 3 plus or minus i square root 39 all over 4 x equals the quantity of negative 3 plus or minus i square root 39 all over 4 x equals the quantity of negative 3 plus or minus square root 57 all over 4 x equals the quantity of 3 plus or minus square root 57 all over 4

We will use the quadratic formula to solve for the x values of this quadratic. . Simplifying that a bit gives us and . We can't leave that negative under there. So we use the fact that -1 = i^2 and make the substitution. . i^2 is a perfect square that we can pull out, leaving us with . The first of your choices above is the one that you want.

i think it would be 42cm