Solve 6x^(2)-3x=1

Evaluate

6 x^{2} - 3 x = 1

Move the expression to the left side

6 x^{2} - 3 x - 1 = 0

Substitute a= 6,b= - 3 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 6 ( - 1 )}{2 \times 6}

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 6 ( - 1 )}{12}

Simplify the expression

More Steps

x = \frac{3 \pm 33}{12}

Separate the equation into 2 possible cases

x = \frac{3 + 33}{12} x = \frac{3 - 33}{12}

Solution

x_{1} = \frac{3 - 33}{12}, x_{2} = \frac{3 + 33}{12}

Alternative Form

x_{1} \approx - 0.228714, x_{2} \approx 0.728714

Solve the quadratic equation