Solve 6x-1=4x^2 - ScanMath

Evaluate

6 x - 1 = 4 x^{2}

Swap the sides

4 x^{2} = 6 x - 1

Move the expression to the left side

4 x^{2} - 6 x + 1 = 0

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

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

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 4}{8}

Simplify the expression

More Steps

x = \frac{6 \pm 20}{8}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 5}{8}

Separate the equation into 2 possible cases

x = \frac{6 + 2 5}{8} x = \frac{6 - 2 5}{8}

Simplify the expression

More Steps

x = \frac{3 + 5}{4} x = \frac{6 - 2 5}{8}

Simplify the expression

More Steps

x = \frac{3 + 5}{4} x = \frac{3 - 5}{4}

Solution

x_{1} = \frac{3 - 5}{4}, x_{2} = \frac{3 + 5}{4}

Alternative Form

x_{1} \approx 0.190983, x_{2} \approx 1.309017

Solve the quadratic equation