Solve x^2-2x \sqrt 3-x=\sqrt 3-x 8

Evaluate

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

Calculate the product

x^{2} - 23 \times x - x = 3 - x \times 8

Use the commutative property to reorder the terms

x^{2} - 23 \times x - x = 3 - 8 x

Move the expression to the left side

x^{2} - 23 \times x + 7 x - 3 = 0

Substitute a= 1,b= 8 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 8 \pm 8 ^{2} - 4 ( - 3 )}{2}

Simplify the expression

More Steps

x = \frac{- 8 \pm 64 + 4 3}{2}

Simplify the radical expression

More Steps

x = \frac{- 8 \pm 2 16 + 3}{2}

Separate the equation into 2 possible cases

x = \frac{- 8 + 2 16 + 3}{2} x = \frac{- 8 - 2 16 + 3}{2}

Simplify the expression

More Steps

x = - 4 + 16 + 3 x = \frac{- 8 - 2 16 + 3}{2}

Simplify the expression

More Steps

x = - 4 + 16 + 3 x = - 4 - 16 + 3

Solution

x_{1} = - 4 - 16 + 3, x_{2} = - 4 + 16 + 3

Alternative Form

x_{1} \approx - 8.210944, x_{2} \approx 0.210944

Solve the quadratic equation