Will give medal, please help!!!! How do I solve
(k-7)^2 +6(k-7)+10 using the quadratic formula?

Question

Will give medal, please help!!!! How do I solve 
(k-7)^2 +6(k-7)+10 using the quadratic formula?

fortytherapper · Answer

I would first distribute and then combine like terms
After that, we can use the quadratic formula

anonymous · Answer

okay but the answer is supposed to be 4 plus or minus imaginary i

anonymous · Answer

I tried using the substitution method but got a completely different answer

parthkohli · Answer

hmm, I'm getting that. so you substituted $x = k -7$ and got a quadratic in $x$.

anonymous · Answer

yes

parthkohli · Answer

$$x^2 + 6x + 10$$did you use the quadratic formula for this?

anonymous · Answer

when I substituted I got the x^2 +6x +10=0

anonymous · Answer

Then used that equation in the quadratic formula

parthkohli · Answer

You should get $x = -3 \pm i$. But remember that is not $k$.

anonymous · Answer

But what do you do with that -3 plus or minus imaginary i then?

parthkohli · Answer

You use $x = k-7$ again.

parthkohli · Answer

$$\Rightarrow k-7 = -3 \pm i$$

anonymous · Answer

Okay I got it thankyou

parthkohli · Answer

No problem. :)