SOLUTION: Section 10.2 Solve each equation using the quadratic formula. 10. x2 + 4x + 3 = 0

Question 171774: Section 10.2
Solve each equation using the quadratic formula.
10. x2 + 4x + 3 = 0

Found 2 solutions by nerdybill, jim_thompson5910:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Your first course of solving a quadratic is the try and "factor", failing that, you can always resort to the "quadratic equation" (a little more time-consuming).
.
x^2 + 4x + 3 = 0
.
This one you can factor:
(x+3) (x+1) = 0
.
Setting each of the terms on the left to zero and solving for x yields:
x = {-3, -1}
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

RELATED QUESTIONS
10.) Solve each equation by using the quadratic formula x^2+4x+3=0 (answered by checkley77)
Solve each equation by using the quadratic formula. 10. x^2 + 4x + 3 =... (answered by jim_thompson5910)
13) Solve by using quadratic formula x2 � 6x + 10 = 0 14) Solve by using... (answered by vleith)
13) Solve by using quadratic formula x2 � 6x + 10 = 0 14) Solve by using... (answered by checkley77)
Using the formula. Solve each equation by using the quadratic formula #10: x^2 + 4x +... (answered by jim_thompson5910)
Solve the quadratic equation using the formula x^2-4x + 3 = 0 3x^2 + 5x-8 = 0... (answered by addingup)
Solve by using quadratic formula x2 � 3x - 10 =... (answered by jim_thompson5910,richwmiller)
solve by using the quadratic formula... (answered by bobdabuildr)
Solve using the quadratic formula... (answered by MathLover1)