(x/2)² +x+1
= (x/2)² + 2* x/2*1 +1²
it is in form a²+2ab+b² =(a+b)²
=(x/2 +1)²
Answer:
simplify
make denominator common
x²/4+4x/4+4/4
(x²+4x+4)/4=0
(x²+4x+4)=0×4
quadratic equation
solved by quadratic formula
(-b±√b²-4ac)/2a
(-4±√4²-4×1×4)/2×1
(-4±√0)/2
-4/2 = -2
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Verified answer
(x/2)² +x+1
= (x/2)² + 2* x/2*1 +1²
it is in form a²+2ab+b² =(a+b)²
=(x/2 +1)²
Answer:
simplify
make denominator common
x²/4+4x/4+4/4
(x²+4x+4)/4=0
(x²+4x+4)=0×4
quadratic equation
solved by quadratic formula
(-b±√b²-4ac)/2a
(-4±√4²-4×1×4)/2×1
(-4±√0)/2
-4/2 = -2