Question

If x2 + ax + 16 is a perfect square then which number is a

Answer 1

Answer:

x²+ax+16 is a perfect square...

we can rewrite above expression as follows:-

(x)²+ax +(4)² ---------(1)

we know (a+b)²= a²+2ab+b² -------- (2)

comparing expression in 1 to 2

(x)²+8x+(4)²

(x)²+2•x•4+(4)²

therefore, (x+4)²

And the value of a is 8