Question

Use the quadratic formula to determine the exact solutions to the equation. 2x^2 + 3x − 7 = 0. (Type 2 separate answers)

Answer 1

Answer:

Step-by-step explanation:

Here the coefficients are a = 2, b = 3 and c = -7.

Thus, the discriminant b²-4ac is 3²-4(2)(-7), or 9 + 56 = 63.

Because the discriminant is positive, we know we have two real, different roots.  They are:

      -3 ± √63         -3 + 3√7                      -3 - 3√7

x = ---------------- = -----------------  and  x = -----------------

          2(2)                   4                                   4