Executive Solution Overview
Let’s solve: x² + 5x + 6 = 0 Step 1: Identify values a = 1 b = 5 c = 6 Step 2: Substitute into formula x = (-5 ± √(5² − 4×1×6)) / (2×1) Step 3: Solve inside the square root 5² = 25 4×1×6 = 24 So: √(25 − 24) = √1 = 1 Step 4: Final calculation x = (-5 ± 1) / 2 Now split: x = (-5 + 1)/2 = -4/2 = -2 x =…
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Let’s solve: x² + 5x + 6 = 0
Step 1: Identify values
a = 1
b = 5
c = 6
Step 2: Substitute into formula
x = (-5 ± √(5² − 4×1×6)) / (2×1)
Step 3: Solve inside the square root
5² = 25
4×1×6 = 24
So: √(25 − 24) = √1 = 1
Step 4: Final calculation
x = (-5 ± 1) / 2
Now split:
x = (-5 + 1)/2 = -4/2 = -2
x = (-5 – 1)/2 = -6/2 = -3
✅ Final Answer:
x = -2 and x = -3
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