Answer:
w=(-9+√65)/16 or ((-9-√65)16
Explanation:
This quadratic cannot be factorises using the method of factorization so for this example I choose to use the general quadratic formula;
x=(-b±√b²-4ac)/2a
By comparing 16w²+18w+1 with ax²+bx+c, a=16,b=18,c=1 and we plug them into the formula and simplify
w={-18±√(18)²-4(16×1)}/2(16)
w={-18±√324-64}/32
w={-18±√260}/32
w=(-18±2√65)/32
w=(-9+√65)/16 or ((-9-√65)16