Determine $K$ so that one root of the equation $2x^2-5x+2=K$ is zero.
A$K=0$
B$K=2$
C$K=-2$
D$K=5$
Answer & Solution
Correct answer: B. $K=2$
Rewrite the equation as $2x^2-5x+(2-K)=0$.
If one root is zero, then substituting $x=0$ must satisfy the equation.
That gives $2-K=0$, so $K=2$.
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