Question

2x²+ 8x +3=0

Step 1:
a = 2
b=8
C = 3

Plug into discriminant: 8x^2 - 4(2)(3)

Step 2: Show work and solve

Step 3:
Number of Solutions:
Types of Solutions:

Answer 1

Explanation:

Remember the discriminat is

`{b}^(2) - 4ac`

This we get

`{8}^(2) - 4(2)(3)`

Which equals

`40`

Step 3: In the Quadratic Formula,

which include the square root of the discriminant,

If the discriminant is positive, we will get two real roots

If the discriminat is negative, we will get two complex-non real roots

If the discriminant is zero, we will get one real root.

Since 40 is positive,

we will have 2 solutions

Their type will be real numbers