Solve 3x^2/25-2x/3 = 11/6 - ScanMath

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Type your math problem... 3x^2/25-2x/3 = 11/6

Question

Solve the equation

x_{1} = \frac{50 - 5 298}{18}, x_{2} = \frac{50 + 5 298}{18}

Alternative Form

x_{1} \approx - 2.01741, x_{2} \approx 7.572966

Evaluate

(3 \times \frac{x ^{2}}{25}) - (2 \times \frac{x}{3}) = \frac{11}{6}

Simplify

More Steps

\frac{3 x ^{2}}{25} - \frac{2 x}{3} = \frac{11}{6}

Multiply both sides of the equation by LCD

(\frac{3 x ^{2}}{25} - \frac{2 x}{3}) \times 150 = \frac{11}{6} \times 150

Simplify the equation

More Steps

18 x^{2} - 100 x = \frac{11}{6} \times 150

Simplify the equation

More Steps

18 x^{2} - 100 x = 275

Move the expression to the left side

18 x^{2} - 100 x - 275 = 0

Substitute a= 18,b= - 100 and c= - 275 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{100 \pm ( - 100 ) ^{2} - 4 \times 18 ( - 275 )}{2 \times 18}

Simplify the expression

x = \frac{100 \pm ( - 100 ) ^{2} - 4 \times 18 ( - 275 )}{36}

Simplify the expression

More Steps

x = \frac{100 \pm 29800}{36}

Simplify the radical expression

More Steps

x = \frac{100 \pm 10 298}{36}

Separate the equation into 2 possible cases

x = \frac{100 + 10 298}{36} x = \frac{100 - 10 298}{36}

Simplify the expression

More Steps

x = \frac{50 + 5 298}{18} x = \frac{100 - 10 298}{36}

Simplify the expression

More Steps

x = \frac{50 + 5 298}{18} x = \frac{50 - 5 298}{18}

Solution

x_{1} = \frac{50 - 5 298}{18}, x_{2} = \frac{50 + 5 298}{18}

Alternative Form

x_{1} \approx - 2.01741, x_{2} \approx 7.572966

Show Solution

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