32.The sum of squares of two consecutive even numbers is 340. Find the bumber.
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1
Answer:
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aldehyde
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0
Step-by-step explanation:
let the two consecutive numbers be x and x+2
x² + (x +2)² = 340
=> x² + x² + 4 + 4x = 340
=> 2x² + 4x - 336 = 0
=> x² + 2x - 168 = 0
=> x² + 14x - 12x - 168 = 0
=> x(x + 14) - 12(x + 14) = 0
=> (x - 12)(x + 14) = 0
=> x - 12 = 0 => x = 12 ✓
=> x + 14 = 0 => x = -14 ×
therefore two numbers are 12 and 14
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