Determine the value of k for which x=b/a is a solution of kx^2-3abx+2b^2=0.
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Answer:
k=a²
Step-by-step explanation:
kx²-3abx+2b²=0-------------(1)
x=b/a is solution of equation
means b/x is a root of the equation
hence putting x=b/a in equation (1) we get
k(b/a)²-3ab(b/a)+2b²=0
kb²/a²-3b²+2b²=0
kb²/a²=b²
k=a²b²/b²=a²
so k=a²
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