Solve x 11x = 6x + 3947

Question

Solve the quadratic equation

x_{1} = \frac{3 - 43426}{11}, x_{2} = \frac{3 + 43426}{11}

Alternative Form

x_{1} \approx - 18.671733, x_{2} \approx 19.217187

Evaluate

x \times 11 x = 6 x + 3947

Multiply

More Steps

11 x^{2} = 6 x + 3947

Move the expression to the left side

11 x^{2} - 6 x - 3947 = 0

Substitute a= 11,b= - 6 and c= - 3947 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 11 ( - 3947 )}{2 \times 11}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 11 ( - 3947 )}{22}

Simplify the expression

More Steps

x = \frac{6 \pm 173704}{22}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 43426}{22}

Separate the equation into 2 possible cases

x = \frac{6 + 2 43426}{22} x = \frac{6 - 2 43426}{22}

Simplify the expression

More Steps

x = \frac{3 + 43426}{11} x = \frac{6 - 2 43426}{22}

Simplify the expression

More Steps

x = \frac{3 + 43426}{11} x = \frac{3 - 43426}{11}

Solution

x_{1} = \frac{3 - 43426}{11}, x_{2} = \frac{3 + 43426}{11}

Alternative Form

x_{1} \approx - 18.671733, x_{2} \approx 19.217187

Show Solution