Solve 11x^2-x=12 - ScanMath

Question

11 x^{2} - x = 12

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = - 1, x_{2} = \frac{12}{11}

Alternative Form

x_{1} = - 1, x_{2} = 1. \dot{0} \dot{9}

Evaluate

11 x^{2} - x = 12

Move the expression to the left side

11 x^{2} - x - 12 = 0

Factor the expression

More Steps

Evaluate

11 x^{2} - x - 12

Rewrite the expression

11 x^{2} + (- 12 + 11) x - 12

Calculate

11 x^{2} - 12 x + 11 x - 12

Rewrite the expression

x \times 11 x - x \times 12 + 11 x - 12

Factor out x from the expression

x (11 x - 12) + 11 x - 12

Factor out 11 x - 12 from the expression

(x + 1) (11 x - 12)

(x + 1) (11 x - 12) = 0

When the product of factors equals 0,at least one factor is 0

11 x - 12 = 0 x + 1 = 0

Solve the equation for x

More Steps

Evaluate

11 x - 12 = 0

Move the constant to the right-hand side and change its sign

11 x = 0 + 12

Removing 0 doesn't change the value,so remove it from the expression

11 x = 12

Divide both sides

\frac{11 x}{11} = \frac{12}{11}

Divide the numbers

x = \frac{12}{11}

x = \frac{12}{11} x + 1 = 0

Solve the equation for x

More Steps

Evaluate

x + 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

x = - 1

x = \frac{12}{11} x = - 1

Solution

x_{1} = - 1, x_{2} = \frac{12}{11}

Alternative Form

x_{1} = - 1, x_{2} = 1. \dot{0} \dot{9}

Show Solution