# Find the exact solution of x^2 + 5x +2=0

### 1 Answer | Add Yours

The equation x^2 + 5x +2=0 has to be solved. The solutions of the quadratic equation ax^2 + bx + c = 0 are x1 = `(-b + sqrt(b^2 - 4ac))/(2a)` and x2 = `(-b - sqrt(b^2 - 4ac))/(2a)`

For x^2 + 5x +2=0

x1 = `(-5 + sqrt(25 - 8))/2`

=> `-5/2 + sqrt 17/2`

x2 = `-5/2 - sqrt 17/2`

**The exact solutions of the equation x^2 + 5x +2=0 are` -5/2 + sqrt 17/2` andÂ **`-5/2 - sqrt 17/2`