Question

7. If the root of the given quadratic equation are real and equal then find the value of 'k
x2 + 2x + k = 0​

Answer 1

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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