Write x2 +10x+16 =0 in the form x2 +px+qx+16 =0 such that p x q = 16
p = 8, q = 2
Comparing x2 +10x+16 =0 to ax2 + bx+ c = 0, we have a=1 , b=10 and c=16
Now, we need to find two numbers whose product is 16 and whose sum is 10
Pairs of numbers whose product is 16
1,16
-1,-16
2,8
-2,-8
4,4
-4,-4
Of these pairs , the pair that gives the sum 10 is the third pair
Identifying the pair, we rewrite the given quadratic equation as
x2 +10x+16= x2 +2x+8x+16
x2 +2x+8x+16=0