Write the Value of λ for Which X2 + 4x + λ is a Perfect Square. - Mathematics

Write the value of λ for which x2 + 4x + λ is a perfect square.

Solution

The given quadric equation is   x2 + 4x + λ = 0

Then find the value of k.

Here,  a =1, b= 4 and, c = λ

As we know that D = b2 - 4ac

Putting the value of  a =1, b = 4 and, c = λ

 = (4)^2 - 4 xx 1 xx λ

= 16 -4λ

The given equation are perfect square, ifD = 0

14 - 4λ = 0

4λ = 16

λ = 16/4

= 4

Therefore, the value of λ = 4.

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RD Sharma Class 10 Maths