Solve for x. Write the smaller solution first, and the larger solution second. 5x^2+45x+90=0

The smaller solution is (-9 - √21)/2 and the larger is (-9 + √21)/2

Step-by-step explanation:

Reduce this equation by dividing all four terms by 5:

x^2 + 9X + 15 = 0

The coefficients of the x terms here are a = 1, b = 9 and c = 15.  Thus, the discriminant is b^2 - 4ac, or  81 - 4(1)(15), or 81 - 60 = 21.

The roots (solutions) are thus:

      -b ±√discriminant         -9 ±√21

x = =

              2a                                  2

The smaller solution is (-9 - √21)/2 and the larger is (-9 + √21)/2

a. she will receive a refund of $278.

step-by-step explanation: