Write the value of λ for which x² + 4x + λ, is a perfect square.
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Value of λ = +4
Step-by-step explanation:
The value of λ for which x² + 4x + λ, is a perfect square:
+4 can be factorized as +2 and +2.
So λ should be +4 for the equation to be a perfect square. Let's check.
x² + 4x + 4 = 0
x² + 2x +2x + 4 = 0
x (x+2) +2(x +2) = 0
(x+2) (x+2) = 0
So the roots are equal.
Value of λ = +4
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