Solve 12/1-9x^2=1-3x/13x-13x/1-3x - ScanMath

HOME CALCULATOR

DOWNLOAD FOR FREE

Algebra
Calculus
Trigonometry
Matrix

Type your math problem... 12/1-9x^2=1-3x/13x-13x/1-3x

Question

Solve the equation

x_{1} = \frac{104 - 27118}{114}, x_{2} = \frac{104 + 27118}{114}

Alternative Form

x_{1} \approx - 0.532241, x_{2} \approx 2.356802

Evaluate

\frac{12}{1} - 9 x^{2} = 1 - (3 \times \frac{x}{13}) x - (13 \times \frac{x}{1}) - 3 x

Remove the parentheses

\frac{12}{1} - 9 x^{2} = 1 - 3 \times \frac{x}{13} x - (13 \times \frac{x}{1}) - 3 x

Divide the terms

12 - 9 x^{2} = 1 - 3 \times \frac{x}{13} x - (13 \times \frac{x}{1}) - 3 x

Simplify

More Steps

12 - 9 x^{2} = 1 - \frac{3 x ^{2}}{13} - 16 x

Multiply both sides of the equation by LCD

(12 - 9 x^{2}) \times 13 = (1 - \frac{3 x ^{2}}{13} - 16 x) \times 13

Simplify the equation

More Steps

156 - 117 x^{2} = (1 - \frac{3 x ^{2}}{13} - 16 x) \times 13

Simplify the equation

More Steps

156 - 117 x^{2} = 13 - 3 x^{2} - 208 x

Move the expression to the left side

156 - 117 x^{2} - (13 - 3 x^{2} - 208 x) = 0

Subtract the terms

More Steps

143 - 114 x^{2} + 208 x = 0

Rewrite in standard form

- 114 x^{2} + 208 x + 143 = 0

Multiply both sides

114 x^{2} - 208 x - 143 = 0

Substitute a= 114,b= - 208 and c= - 143 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{208 \pm ( - 208 ) ^{2} - 4 \times 114 ( - 143 )}{2 \times 114}

Simplify the expression

x = \frac{208 \pm ( - 208 ) ^{2} - 4 \times 114 ( - 143 )}{228}

Simplify the expression

More Steps

x = \frac{208 \pm 108472}{228}

Simplify the radical expression

More Steps

x = \frac{208 \pm 2 27118}{228}

Separate the equation into 2 possible cases

x = \frac{208 + 2 27118}{228} x = \frac{208 - 2 27118}{228}

Simplify the expression

More Steps

x = \frac{104 + 27118}{114} x = \frac{208 - 2 27118}{228}

Simplify the expression

More Steps

x = \frac{104 + 27118}{114} x = \frac{104 - 27118}{114}

Solution

x_{1} = \frac{104 - 27118}{114}, x_{2} = \frac{104 + 27118}{114}

Alternative Form

x_{1} \approx - 0.532241, x_{2} \approx 2.356802

Show Solution

Graph

Graph