7. If the root of the given quadratic equation are real and equal then find the value of 'k
x2 + 2x + k = 0
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Given:The equation has real roots.
DiscriminantΔ=b
2
−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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