For what value of K , do the following quadratic equations have real roots: 2x^2+2x+k=0
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Step-by-step explanation:
Given:The equation has real roots.
DiscriminantΔ=b2−4ac>0 where a=1,b=−2,c=k
⇒(−2)2−4×1×k>0
⇒4−4k>0
⇒4(1−k)>0
⇒k−1<0
⇒k<1
∴k∈(−∞,1)
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