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Question

State true or false:
If x1x2+x3x4=313, then x=5 or x=52.

A
True
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B
False
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Solution

The correct option is A True
Given equation is, x1x2+x3x4=313

3(x1)(x4)+3(x2)(x3)=10(x2)(x4)
3x215x+12+3x215x+18=10x260x+80
4x230x+50=0
2x215x+25=0
2x210x5x+25=0
(2x5)(x5)=0
x=5,52

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