Question

Use the quadratic formula to solve x2+7x+3. Show all of your work. Then describe the solution.

Answer 1

Answer:

Step-by-step explanation:

The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.

The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.

Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.

      -7 ± √37

x = ---------------   =>   x = (-7 + √37)/2  and  x = (-7 - √37)/2

             2

In words:  This quadratic equation has two real, unequal solutions involving the radicand 37.