Løs for x
x = \frac{803847577293368100000000000000000 - 215390309173472467264750747365870 \sqrt{3}}{78460969082652753273524925263413} = 5\frac{3,847577293368118 \times 10^{31}}{7,846096908265276 \times 10^{31}} \approx 5,490381057
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{(30 - \sqrt{3} x)} 0,2679491924311227 = x
Evaluate trigonometric functions in the problem
0,2679491924311227\left(30-\sqrt{3}x\right)-x=0
Subtraher x fra begge sider.
8,038475772933681-0,2679491924311227\sqrt{3}x-x=0
Brug fordelingsegenskaben til at multiplicere 0,2679491924311227 med 30-\sqrt{3}x.
-0,2679491924311227\sqrt{3}x-x=-8,038475772933681
Subtraher 8,038475772933681 fra begge sider. Ethvert tal trukket fra nul giver tallets negation.
\left(-0,2679491924311227\sqrt{3}-1\right)x=-8,038475772933681
Kombiner alle led med x.
\left(-\frac{2679491924311227\sqrt{3}}{10000000000000000}-1\right)x=-8,038475772933681
Ligningen er nu i standardform.
\frac{\left(-\frac{2679491924311227\sqrt{3}}{10000000000000000}-1\right)x}{-\frac{2679491924311227\sqrt{3}}{10000000000000000}-1}=-\frac{8,038475772933681}{-\frac{2679491924311227\sqrt{3}}{10000000000000000}-1}
Divider begge sider med -0,2679491924311227\sqrt{3}-1.
x=-\frac{8,038475772933681}{-\frac{2679491924311227\sqrt{3}}{10000000000000000}-1}
Division med -0,2679491924311227\sqrt{3}-1 annullerer multiplikationen med -0,2679491924311227\sqrt{3}-1.
x=\frac{803847577293368100000000000000000-215390309173472467264750747365870\sqrt{3}}{78460969082652753273524925263413}
Divider -8,038475772933681 med -0,2679491924311227\sqrt{3}-1.
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