Solve 3x^2+x-5=0 - Socratic AI (ScanMath)

Evaluate

3 x^{2} + x - 5 = 0

Substitute a= 3,b= 1 and c= - 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 \times 3 ( - 5 )}{2 \times 3}

Simplify the expression

x = \frac{- 1 \pm 1 ^{2} - 4 \times 3 ( - 5 )}{6}

Simplify the expression

More Steps

x = \frac{- 1 \pm 61}{6}

Separate the equation into 2 possible cases

x = \frac{- 1 + 61}{6} x = \frac{- 1 - 61}{6}

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

x = \frac{- 1 + 61}{6} x = - \frac{1 + 61}{6}

Solution

x_{1} = - \frac{1 + 61}{6}, x_{2} = \frac{- 1 + 61}{6}

Alternative Form

x_{1} \approx - 1.468375, x_{2} \approx 1.135042

3x^2+x 5=0