Make sure you write all the terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.
(- 4+sqrt(11), - 4-sqrt(11))
Practice makes perfect
We will use the Quadratic Formula to solve the given quadratic equation.
ax^2+ bx+ c=0 ⇔ x=- b± sqrt(b^2-4 a c)/2 aWe first need to identify the values of a, b, and c.
x^2+8x+5=0 ⇔ 1x^2+ 8x+ 5=0
We see that a= 1, b= 8, and c= 5. Let's substitute these values into the Quadratic Formula.
Using the Quadratic Formula, we found that the solutions of the given equation are x=- 4± sqrt(11). Therefore, the solutions are x_1=- 4+sqrt(11) and x_2=- 4-sqrt(11).
