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

Evaluate

\frac{x ^{2}}{6} - x \times \frac{1}{4} = 6

Use the commutative property to reorder the terms

\frac{x ^{2}}{6} - \frac{1}{4} x = 6

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

2 x^{2} - 3 x = 6 \times 12

Simplify the equation

2 x^{2} - 3 x = 72

Move the expression to the left side

2 x^{2} - 3 x - 72 = 0

Substitute a= 2,b= - 3 and c= - 72 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 2 ( - 72 )}{2 \times 2}

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 2 ( - 72 )}{4}

Simplify the expression

More Steps

x = \frac{3 \pm 585}{4}

Simplify the radical expression

More Steps

x = \frac{3 \pm 3 65}{4}

Separate the equation into 2 possible cases

x = \frac{3 + 3 65}{4} x = \frac{3 - 3 65}{4}

Solution

x_{1} = \frac{3 - 3 65}{4}, x_{2} = \frac{3 + 3 65}{4}

Alternative Form

x_{1} \approx - 5.296693, x_{2} \approx 6.796693

Solve the equation