Solve x^2-3x \sqrt 6-x=\sqrt 6-x^40

Evaluate

x^{2} - 3 x 6 - x = 6 - x^{4} \times 0

Calculate the product

x^{2} - 36 \times x - x = 6 - x^{4} \times 0

Simplify

More Steps

x^{2} - 36 \times x - x = 6

Collect like terms by calculating the sum or difference of their coefficients

x^{2} + (- 36 - 1) x = 6

Move the expression to the left side

x^{2} + (- 36 - 1) x - 6 = 0

Substitute a= 1,b= - 36 - 1 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 6 + 1 \pm ( - 3 6 - 1 ) ^{2} - 4 ( - 6 )}{2}

Simplify the expression

More Steps

x = \frac{3 6 + 1 \pm 55 + 10 6}{2}

Separate the equation into 2 possible cases

x = \frac{3 6 + 1 + 55 + 10 6}{2} x = \frac{3 6 + 1 - 55 + 10 6}{2}

Solution

x_{1} = \frac{3 6 + 1 - 55 + 10 6}{2}, x_{2} = \frac{3 6 + 1 + 55 + 10 6}{2}

Alternative Form

x_{1} \approx - 0.283761, x_{2} \approx 8.63223

Solve the equation