Solve the equation using the quadratic formula 2n^2+3n=-54

a) {4,-9}
b) {6,-2}
c) {9,-3}
d) {-4 1/2, 6}

Step-by-step explanation:

Rewrite this quadratic equation in standard form:  2n^2 + 3n + 54 = 0.  Identify the coefficients of the n terms:  they are 2, 3, 54.

Find the discriminant b^2 - 4ac:  It is 3^2 - 4(2)(54), or -423.  The negative sign tells us that this quadratic has two unequal, complex roots, which are:

     -(3) ± i√423        -3 ± i√423

n = =

             2(2)                      4

the answer should be a. snail