Question

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

Answer 1

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