qudratic equation

[Stefan]

can u please help me to find out the roots of x^2+8x+12 = 0


thank u

 

[serds]

That's a quadratic equation with 0 =

Solve it with the quadratic formula x_1/2 =

or you can use the pq-formula:

with: X_1/2 =

 

[HallsofIvy]

can u please help me to find out the roots of x^2+8x+12 = 0


thank u

That's easily factored: 2*6= 12 and 2+ 6= 8.
\(\displaystyle x^2+ 8x+ 12= (x+ 2)(x+ 6)= 0\).

You can also complete the square. Since 12= 16- 4 and \(\displaystyle (x+ 4)^2= x^2+ 8x+ 16\)

\(\displaystyle x^2+ 8x+ 12= x^2+ 8x+ 16- 4= (x+ 4)^2- 4= 0\)
\(\displaystyle (x+ 4)^2= 4\)

Now take the square root of both sides.