Question

"Solve the equation. If necessary, round to the nearest hundredth. If there is no solution, write no solution.

k^2-24k+4= -2 "

Can someone help me solve this?

Answer 1

HI!

Answer 2

BYE!

Answer 3

you want to add 2 to both sides

Answer 4

start at
\[k^2-24k+6=0\] then maybe factor it

Answer 5

no that is not going to work

Answer 6

we can complete the square maybe

Answer 7

Can you help me complete the square?

Answer 8

sure

Answer 9

it is easier then the quadratic formula in this example\[k^2-24k+6=0\\
k^2-24k=-6\] is a start
now what is half of \(24\)?

Answer 10

(24/2)^2 = 12^2 = 144

Answer 11

got so
\[(k-12)^2=-6+144\\
(k-12)^2=138\]

Answer 12

then \[k-12=\pm\sqrt{138}\\
k=12\pm\sqrt{138}\] and you are done

Answer 13

Thank you!!

Answer 14

\[\color\magenta\heartsuit\]