Solve this quadratic equation

x^2 + 5x + 3 = 0

@writeacher, can you help my friend out?

one way is to complete the square:

x^2 + 5x + 3 = 0
x^2 + 5x = -3
x^2 + 5/x + (5/2)^2 = -3 + (5/2)^2
(x + 5/2)^2 = 13/4
x + 5/2 = ±√13/2
x = (-5±√13)/2

You get the same answer using the quadratic formula.

thank you steve for helping my friend here, he's new to the website, I had to help him through it. :)

To solve the quadratic equation x^2 + 5x + 3 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In the quadratic equation x^2 + 5x + 3 = 0, the coefficients of the quadratic terms are a = 1, b = 5, and c = 3.

Now, substitute the values of a, b, and c into the quadratic formula:

x = ( -(5) ± √((5)^2 - 4(1)(3)) ) / (2(1))

Simplifying the equation further:

x = (-5 ± √(25 - 12)) / 2

x = (-5 ± √(13)) / 2

Hence, the solutions to the quadratic equation x^2 + 5x + 3 = 0 are:

x = (-5 + √(13))/2 and x = (-5 - √(13))/2