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R1+ R2 = 2 (1)

1/R1 + 1/R2 =1/2 => R1 x R2 /(R1 +R2) = 2 (2)

(1) and (2) => R1 x R2 / 2 = 2 => R1 x R2 = 4 => R1 = 4 / R2 (3) (1) and (3) => 4/R2 + R2 =2 => 4 + R2 2 = 2 R2 => R22 - 2R2 + 4 =0 (4)

delta = (-2)2- 4 *4 = -12 delta is negative which means that the equation's solution has an imaginary part,hence no real solution for the equation

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The resistance of two resistors R1 and R2 in parallel is R1R2/(R1+R2), so the resistance of 1 ohm in parallel with 2 ohms is 0.67 ohms.

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Q: 2 resistors are connected equivalent resistance in parallel is 2 and equivalent resistance in series is 2 find the value of 2 resistors?
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