Solve for x
x = -\frac{10618}{3645} = -2\frac{3328}{3645} \approx -2.91303155
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\frac{2000}{5400}=\sqrt{0.025x+0.21}
Divide both sides by 5400.
\frac{10}{27}=\sqrt{0.025x+0.21}
Reduce the fraction \frac{2000}{5400} to lowest terms by extracting and canceling out 200.
\sqrt{0.025x+0.21}=\frac{10}{27}
Swap sides so that all variable terms are on the left hand side.
0.025x+0.21=\frac{100}{729}
Square both sides of the equation.
0.025x+0.21-0.21=\frac{100}{729}-0.21
Subtract 0.21 from both sides of the equation.
0.025x=\frac{100}{729}-0.21
Subtracting 0.21 from itself leaves 0.
0.025x=-\frac{5309}{72900}
Subtract 0.21 from \frac{100}{729} by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
\frac{0.025x}{0.025}=-\frac{\frac{5309}{72900}}{0.025}
Multiply both sides by 40.
x=-\frac{\frac{5309}{72900}}{0.025}
Dividing by 0.025 undoes the multiplication by 0.025.
x=-\frac{10618}{3645}
Divide -\frac{5309}{72900} by 0.025 by multiplying -\frac{5309}{72900} by the reciprocal of 0.025.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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