Solve 2x^2-12x 8=3

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{48 - 2310}{2}, x_{2} = \frac{48 + 2310}{2}

Alternative Form

x_{1} \approx - 0.03123, x_{2} \approx 48.03123

Evaluate

2 x^{2} - 12 x \times 8 = 3

Multiply the terms

2 x^{2} - 96 x = 3

Move the expression to the left side

2 x^{2} - 96 x - 3 = 0

Substitute a= 2,b= - 96 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{96 \pm ( - 96 ) ^{2} - 4 \times 2 ( - 3 )}{2 \times 2}

Simplify the expression

x = \frac{96 \pm ( - 96 ) ^{2} - 4 \times 2 ( - 3 )}{4}

Simplify the expression

More Steps

x = \frac{96 \pm 9240}{4}

Simplify the radical expression

More Steps

x = \frac{96 \pm 2 2310}{4}

Separate the equation into 2 possible cases

x = \frac{96 + 2 2310}{4} x = \frac{96 - 2 2310}{4}

Simplify the expression

More Steps

x = \frac{48 + 2310}{2} x = \frac{96 - 2 2310}{4}

Simplify the expression

More Steps

x = \frac{48 + 2310}{2} x = \frac{48 - 2310}{2}

Solution

x_{1} = \frac{48 - 2310}{2}, x_{2} = \frac{48 + 2310}{2}

Alternative Form

x_{1} \approx - 0.03123, x_{2} \approx 48.03123

Show Solution