Answer to Question #162134 in Algebra for Will

Question

Calculate the discriminant b²- 4ac to determine the number and type of solutions to x²+ 4x + 4= 0

Answer 1

Solution

Let’s compare given equation with standard form of quadratic equation ax²+ bx + c= 0.

Here a = 1, b = 4, c = 4.

So b² – 4ac = 4² – 4*1*4 = 16 – 16 = 0.

Therefore given equation has a double root x_1,2 = -2.