How do you solve -2k^2=-162?

1 Answer
Aug 18, 2016

k = -2, or k= +2

Explanation:

In solving a quadratic equation we usually make it = 0. However, in this case there is no term x, so we can use it in this form.

Isolate the variable.

-2k^2 = -162 " "div -2

k^2 = 81" find square root"

k = +-sqrt81

k = 9 or k = -9

Another method....

-2k^2 +162 =0 " "div -2

k^2 - 81= 0" factorise"

(k+2)(k-2) = 0
Each factor can be 0.

k = -2, or k= +2