Solve x^2-10x^21=x-3

Evaluate

x^{2} - 10 x^{2} \times 1 = x - 3

Simplify

More Steps

- 9 x^{2} = x - 3

Move the expression to the left side

- 9 x^{2} - x + 3 = 0

Multiply both sides

9 x^{2} + x - 3 = 0

Substitute a= 9,b= 1 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 \times 9 ( - 3 )}{2 \times 9}

Simplify the expression

x = \frac{- 1 \pm 1 ^{2} - 4 \times 9 ( - 3 )}{18}

Simplify the expression

More Steps

x = \frac{- 1 \pm 109}{18}

Separate the equation into 2 possible cases

x = \frac{- 1 + 109}{18} x = \frac{- 1 - 109}{18}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 1 + 109}{18} x = - \frac{1 + 109}{18}

Solution

x_{1} = - \frac{1 + 109}{18}, x_{2} = \frac{- 1 + 109}{18}

Alternative Form

x_{1} \approx - 0.635573, x_{2} \approx 0.524461

Solve the quadratic equation