Answer:
factor left the side of the equation
(2k_9)(k+2)=0
set factors equal to 0
2k_9=0 or k+2=0
the answer is K= 9/2 or K =-2
2k^2 - 5k - 18 = 0 can be solved by splitting the middle term to get k = -2 and k = -4.5.
An equation can be solved by many methods which include using the quadratic formula, splitting the middle term, etc. When an equation is solved, it means we are finding the value of the variable in the equation.
Given : 2k^2 - 5k - 18 = 0
2k^2 - 5k - 18 = 0
⇒ 2k^2 +4k - 9k - (9*2) = 0
⇒ 2k( k + 2 ) -9( k + 2 ) = 0
⇒ ( 2k - 9 )( k+2 ) = 0
⇒ k = 4.5, k = -2
Therefore, we have solved 2k^2 - 5k - 18 = 0 to get k = 4.5 and k = -2.
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