Solve 18 - 14x^2 = 3x - Socratic AI (ScanMath)

Evaluate

18 - 14 x^{2} = 3 x

Move the expression to the left side

18 - 14 x^{2} - 3 x = 0

Rewrite in standard form

- 14 x^{2} - 3 x + 18 = 0

Multiply both sides

14 x^{2} + 3 x - 18 = 0

Substitute a= 14,b= 3 and c= - 18 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 3 \pm 3 ^{2} - 4 \times 14 ( - 18 )}{2 \times 14}

Simplify the expression

x = \frac{- 3 \pm 3 ^{2} - 4 \times 14 ( - 18 )}{28}

Simplify the expression

More Steps

x = \frac{- 3 \pm 1017}{28}

Simplify the radical expression

More Steps

x = \frac{- 3 \pm 3 113}{28}

Separate the equation into 2 possible cases

x = \frac{- 3 + 3 113}{28} x = \frac{- 3 - 3 113}{28}

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

x = \frac{- 3 + 3 113}{28} x = - \frac{3 + 3 113}{28}

Solution

x_{1} = - \frac{3 + 3 113}{28}, x_{2} = \frac{- 3 + 3 113}{28}

Alternative Form

x_{1} \approx - 1.246087, x_{2} \approx 1.031801

18 14x^2 = 3x