In the given equation,find the value of unknown constant (s) for which the given value (s) is (are) solution of the equation.
kx square+tx+1=0;x=2, x=0.1
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Given, k
2
x+2x+1=0 ______ (1) where a=k, b=2, c=1
since the equation (1) has distinct roots,
b
2
−4ac>0
⇒2
2
−4k>0
⇒4−4k>0
⇒−4k>−4
⇒4k<4
⇒k<1
∴ whenever k < 1 the given equation (1) will have distinct roots.
solution
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