How to solve x^2+8x+3 using the quadratic formula

x = sqrt (13) - 4 or x = - 4 - sqrt (13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = - 3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4) ^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt (13) or x + 4 = - sqrt (13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt (13) - 4 or x + 4 = - sqrt (13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt (13) - 4 or x = - 4 - sqrt (13)