Find the value of K in 36x^2+18x+K.

To find the value of K in the equation 36x^2 + 18x + K, you can use the coefficients of the x^2 and x terms.

In this equation, the coefficient of the x^2 term is 36 and the coefficient of the x term is 18.

To find the value of K, you need to use the discriminant, which is calculated as b^2 - 4ac in the quadratic formula. Here, a represents the coefficient of the x^2 term (36), b represents the coefficient of the x term (18), and c represents the constant term (K).

In this case, the discriminant is 18^2 - 4 * 36 * K.

In order for the equation to have real solutions, the discriminant should be greater than or equal to zero. So, you can set up an inequality:

18^2 - 4 * 36 * K >= 0

Simplifying and solving the inequality:

324 - 144K >= 0
180 >= 144K
5/4 >= K

So, the value of K must be less than or equal to 5/4 (1.25) for the equation 36x^2 + 18x + K to have real solutions.