Question

If 12 is divided into two parts such that their square number is 74. Find the number

Answer 1

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Answer 2

Step-by-step explanation:

Let one number be x.

The other number will be 12-x.

x²+(12-x)²=74

x²+144+x²-24x=74

2x²-24x+144-74=0

(2x²-24x+70=0)/2

x²-12x+35=0

x²-7x-5x+35=0

x(x-7)-5(x-7)=0

(x-7)(x-5)=0

x=7

x=5.

Verify:

7²+5²=49+25=74.

Hence, 7 and 5 are the two parts.

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