Question

the value of alpha for which x²+4x+alpha is a perfect square is​

Answer 1

Step-by-step explanation:

Please see the photo Hope it helps you a lot

Answer 2

The value of α is 4

Step-by-step explanation:

The given polynomial, $x^2+4x+\alpha$

This is quadratic polynomial. if quadratic polynomial is perfect square then D=0

where, $D=b^2-4ac$

• a is coefficient of x²

• b is coefficient of x

• c is constant

$\therefore 4^2-4\times 1\times \alpha=0$

$\Rightarrow 4\alpha=16$

$\Rightarrow \alpha=4$

Hence, the value of α is 4

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