Question

Solve x2 + 6x + 7 = 0.

Answer 1

`x=-3+√(3)` ,
`x=-3-√(3)`

Explanation:

x2 + 6x + 7 = 0

Solve the equation for x

To solve this we apply quadratic formula

`x=(-b+-√(b^2-4ac) )/(2a)`

a= 1 , b= 6 , c= 7

Plug in all the values in the formula

`x=(-6+-√(6^2-4(1)(7)) )/(2(1))`

`x=(-6+-√(36-28) )/(2(1))`

`x=(-6+-√(8) )/(2(1))`

`x=(-6+-2√(2) )/(2)`

Divide each term by 2

`x=-3+- √(3)`

so we got two value for x

`x=-3+√(3)` ,
`x=-3-√(3)`