Solve x^2 +5x +3=0 解

Evaluate

x^{2} + 5 x + 3 = 0 \times J i e

Any expression multiplied by 0 equals 0

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

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

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

Simplify the expression

More Steps

x = \frac{- 5 \pm 13}{2}

Separate the equation into 2 possible cases

x = \frac{- 5 + 13}{2} x = \frac{- 5 - 13}{2}

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

x = \frac{- 5 + 13}{2} x = - \frac{5 + 13}{2}

Solution

x_{1} = - \frac{5 + 13}{2}, x_{2} = \frac{- 5 + 13}{2}

Alternative Form

x_{1} \approx - 4.302776, x_{2} \approx - 0.697224

Solve the quadratic equation