If one root of the equation x²+mx+6=0 is 2 find its other root.
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Sunita locked the cupboard before leaving.
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Given: x=2 is a root of the equation
2x
2
+kx−6=0
∴2×2
2
+2k−6=0_8+2k−6=0_2k+2=0_k=−1
Putting k=−1 in the equation 2x
2
+kx−6=0,
Now to find other root of given equation
2x
=2−x−6=0⇒2x
=2−4x+3x−6=0
=2x(x−2)+3(x−2)=0
=(x−2)(2x+3)=0⇒x−2=0,2x+3=0
=x=2,x= 2−3
Hence the other root is2−3
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