Solve x 14x = 1112x - 3

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{556 - 309094}{14}, x_{2} = \frac{556 + 309094}{14}

Alternative Form

x_{1} \approx 0.002698, x_{2} \approx 79.425873

Evaluate

x \times 14 x = 1112 x - 3

Multiply

More Steps

14 x^{2} = 1112 x - 3

Move the expression to the left side

14 x^{2} - 1112 x + 3 = 0

Substitute a= 14,b= - 1112 and c= 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{1112 \pm ( - 1112 ) ^{2} - 4 \times 14 \times 3}{2 \times 14}

Simplify the expression

x = \frac{1112 \pm ( - 1112 ) ^{2} - 4 \times 14 \times 3}{28}

Simplify the expression

More Steps

x = \frac{1112 \pm 111 2 ^{2} - 168}{28}

Simplify the radical expression

More Steps

x = \frac{1112 \pm 2 309094}{28}

Separate the equation into 2 possible cases

x = \frac{1112 + 2 309094}{28} x = \frac{1112 - 2 309094}{28}

Simplify the expression

More Steps

x = \frac{556 + 309094}{14} x = \frac{1112 - 2 309094}{28}

Simplify the expression

More Steps

x = \frac{556 + 309094}{14} x = \frac{556 - 309094}{14}

Solution

x_{1} = \frac{556 - 309094}{14}, x_{2} = \frac{556 + 309094}{14}

Alternative Form

x_{1} \approx 0.002698, x_{2} \approx 79.425873

Show Solution