Math help Please!! ASAP

Question

Tyler was asked to solve the following quadratic equation using one of the 3 methods below:

x2+3x+2=0

Quadratic Formula, Factoring, Completing the Square

Which method should Tyler use that is more convenient? Explain

Answer 1

Completing the square.

x^2 + 3x + 2 = 0

x^2 + 3x =. -2

Now compete the square on the left side by taking 1/2 of 3 and squaring that. (3/2)^2

x^2 + 3x + 9/4 = -2 + 9/4. Add the (3/2)^2 to both sides.

(x + 3/2)^2 = 1/4

Now take the root of both sides

x+ 3/2 = -1/4. and x + 3/2 = 1/4 Solve both of these equations.

Why does this work?

(x + a)^2 = (x + a)(x + a). =. x^2 + 2a + a^2. Notice that 3rd term is 1/2 of middle term then squared.

Answer 2

Factoring is a simple way.

Factor the left to get:

Find the roots of each term in the product seperately by settting each to zero and solving for x:

x + 1 = 0

x = -1

x + 2 = 0

x = -2

solution: x = -1 x = -2