Solve the equation below

Question

x^2+5x+2=0

Answer 1

To solve the equation x^2 + 5x + 2 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac))/(2a)

In this case, a = 1, b = 5, and c = 2. Plugging these values into the formula, we get:

x = (-(5) ± √((5)^2 - 4(1)(2)))/(2(1))
x = (-5 ± √(25 - 8))/(2)
x = (-5 ± √(17))/(2)

Therefore, the solutions to the equation are x = (-5 + √(17))/2 and x = (-5 - √(17))/2.