kx²-10x+3=0 x=1/3 find the value of k
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X^2-X-12=0. (1)
KX^2+10X+3=0. (2)
MAY HAVE COMMON ROOT BY EQUATION (1)
X^2-X-12=0
X^2-(4-3)X-12=0
X(X-4)+3(X-4)=0
X+3=0, X-4=0
X= -3 ,X=4
PUTTING THE VALUE OF X IN EQUATION (2)
KX^2+10X+3=0
K(-3)^2+10(-3)+3=0
9K-30+3=0
9K=27
K=27/9
K=3,
X=4
KX^2+10X+3=0
K(4)^2+10(4)+3=0
16K+40+3=0
16K+43=0
16K= -43
K= -43/16
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