(43.3-x)left(x+7.35right)^2=27562.5 పరిష్కరించండి

$$(43.3-x) { \left(x+7.35 \right) }^{ 2 } =27562.5$$

xని పరిష్కరించండి (సంకీర్ణ పరిష్కారం)

$$x=-\frac{\left(1+i\sqrt{3}\right)\left(-i\sqrt{3}\sqrt[3]{31500\sqrt{2693194818}-1937240803}-\sqrt[3]{31500\sqrt{2693194818}-1937240803}+2\sqrt[3]{-31500\sqrt{2693194818}-1937240803}-572+i\times 572\sqrt{3}\right)}{240}\approx 11.083587459-22.063874147i$$

$$x=\frac{\sqrt[3]{31500\sqrt{2693194818}-1937240803}+\sqrt[3]{-31500\sqrt{2693194818}-1937240803}+572}{60}\approx 27.866081788+31.753251765i$$

$$x=-\frac{\left(-i\sqrt{3}+1\right)\left(-\sqrt[3]{31500\sqrt{2693194818}-1937240803}-i\times 572\sqrt{3}+2\sqrt[3]{-31500\sqrt{2693194818}-1937240803}-572+i\sqrt{3}\sqrt[3]{31500\sqrt{2693194818}-1937240803}\right)}{240}\approx -10.349669247-9.689377618i$$

xని పరిష్కరించండి

$$x=-\frac{\sqrt[3]{31500\sqrt{2693194818}[phone]}}{60}-\frac{\sqrt[3]{1937240803-31500\sqrt{2693194818}}}{60}+\frac{143}{15}\approx -27.132163576$$