Use the discriminant to determine the number and type of solutions the equation has? x^2 + 8x + 12 = 0 A.no real solution B.one real solution C. two rational solutions D. two irrational solutions

1 Answer
Mar 13, 2016

C. two Rational solutions

Explanation:

The solution to the quadratic equation
ax2+bx+c=0 is
x=b±b24ac2a
In the problem under consideration,
a = 1, b = 8 and c = 12
Substituting,
x=8±82411221
or x=8±64482
x=8±162
x=8±42
x=8+42andx=842
x=42andx=122
x=2andx=6