the equation having the root -5 is
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Answer:
Given: One of the root of the equation is −2
Put x=−2 in 2x
2
+kx−2=0
⇒2(−2)
2
−2k−2=0
⇒8−2k−2=0
⇒−2k=−6 or k=
2
6
=3
The above equation becomes 2x
2
+3x−2=0
2x
2
+4x−x−2=0
⇒2x(x+2)−1(x+2)=0
∴(x+2)(2x−1)=0
Thus, the other root of the equation is x=
2
1
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