Let Z1- Z2 - C such that Z12 - Z22- R- If Z1 Z12 - 3Z22 - 10 and Z23Z12 - Z22 - 30- Find the value of Z12- Z22-

The correct option is A Z_1^2 + Z_2^2 = 10 Z_1^3 3Z_! Z_2^2 #160; = 10 #160; #160; #160;...(1) 3Z_2Z_1^2 Z_2^3 = 30 3Z_2Z_1^2 ...

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Arithmetic Mean

Let Z1, Z2 ...

Question

Let $Z_{1}, Z_{2} \in C$ such that $Z_{1}^{2} + Z_{2}^{2} \in R$ . If $Z_{1} (Z_{1}^{2} - 3 Z_{2}^{2}) = 10$ and $Z_{2} (3 Z_{1}^{2} - Z_{2}^{2}) = 30$ , Find the value of $(Z_{1}^{2} + Z_{2}^{2})$ .

Z_{1}^{2} + Z_{2}^{2} = 10

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Z_{1}^{2} + Z_{2}^{2} = 15

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Z_{1}^{2} + Z_{2}^{2} = 20

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Z_{1}^{2} + Z_{2}^{2} = 50

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Similar questions

z_{1} z_{2} \in C, {z_{1}}^{2} + {z_{2}}^{2} \in R, z_{1} ({z_{1}}^{2} - 3 {z_{2}}^{2}) = 2

z_{2} (3 {z_{1}}^{2} - {z_{2}}^{2}) = 11

{z_{1}}^{2} + {z_{2}}^{2}

z_{1} z_{2} \in C, z_{1}^{2} + z_{2}^{2} ϵ R, z_{1} (z_{1}^{2} - 3 z_{2}^{2}) = 2

z_{2} (3 z_{1}^{2} - z_{2}^{2}) = 11

z_{1}^{2} + z_{2}^{2}

z_{1}, z_{2}

(z_{1} \neq z_{2})

| z_{1}^{2} - z_{2}^{2} | = | ¯ ¯¯¯ ¯ z_{1}^{2} + ¯ ¯¯¯ ¯ z_{2}^{2} - 2 {¯ ¯ ¯ z}_{1} {¯ ¯ ¯ z}_{2} |

z_{1}

z_{2}

∣ ∣ z_{1} + \sqrt{{z_{1}}^{2} - {z_{2}}^{2}} ∣ ∣ + ∣ ∣ z_{1} - \sqrt{{z_{1}}^{2} - {z_{2}}^{2}} ∣ ∣

z_{1}, z_{2}

∣ ∣ ∣ z_{1^{+}} \sqrt{z_{1}^{2} - z_{2}^{2}} ∣ ∣ ∣ + ∣ ∣ ∣ z_{1} - \sqrt{z_{1}^{2} - z_{2}^{2}} ∣ ∣ ∣

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