Solve 2x^2-6x+3=0

Evaluate

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{6 \pm 12}{4}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 3}{4}

Separate the equation into 2 possible cases

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

Simplify the expression

More Steps

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

Simplify the expression

More Steps

x = \frac{3 + 3}{2} x = \frac{3 - 3}{2}

Solution

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

Alternative Form

x_{1} \approx 0.633975, x_{2} \approx 2.366025

Solve the quadratic equation