Finding resistance of unknown resistors in 2 pairs of parallel circuits

If you are given two pairs of parallel circuits, with three unknown resistors and one 4ohm resistor, with the total resistance totaling 3/4 ohms ; how are you supposed to find the resistance the unknown resistors? Do you just use the parallel resistor formula : rt = 1/r1 + 1/r2 + 1/r3 ... But using that formula will simply give you the total of the three unknown resistor's resistance, not the resistance of each resistors. How do you go about to solve for the unknown resistors. Note that the only numbers given are one of the resistor and the total resistance. Thanks, There's a picture below of the diagram simulate this circuit – Schematic created using CircuitLab

• that is one pair of parallel circuits .... one parallel circuit on top and one on bottom – jsotola Apr 28 at 1:42
• Looks like all three unknown resistors are supposed to be the same value. Is that the case here? – jonk Apr 28 at 2:18
• You solve it via the following quadratic:\begin{align*}R_\text{TOTAL}&=\frac{1}{\frac{1}{R_1}+\frac{1}{R=4\:\Omega}}+\frac{1}{\frac{1}{R_1}+\frac{1}{R_1}}=\frac34\:\Omega\\\\&=\frac{R\,R_1}{R+R_1}+\frac{R_1}{2}\\\\&=\frac{R_1^{\,2}+3\,R\,R_1}{2\left(R+R_1\right)}\\\\&\therefore\\\\0&=R_1^{\,2}+\left(3\,R\,R_\text{TOTAL}-2\,R_\text{TOTAL}\right)R_1-2\,R\,R_\text{TOTAL}\end{align*}You know $R=4\:\Omega$ and $R_\text{TOTAL}=\frac34\:\Omega$. You should be able to solve this for $R_1$. – jonk Apr 28 at 2:48