Question

Solve x2 - 8x = 3 by completing the square. Which is the solution set

[4 - 19,4 + /19}
{4 - V11, 4 + /11)
{4 - V8, 4 + }
[4 - V3, 4 + (3)

Answer 1

4\pm\sqrt{19}

Explanation:

Move everything to left side

`x^(2) -8x -3 =0`

Now to solve this square equation we need to find Descriminant

`D=b^(2) -4ac=64+12=76`

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

`x_(1,2)=(-b\pm√(D))/(2a) =(8\pm2√(19))/(2)=4\pm√(19)`