Solve x^2 -3x - 49

Evaluate

x^{2} - 3 x - 49

To find the roots of the expression,set the expression equal to 0

x^{2} - 3 x - 49 = 0

Substitute a= 1,b= - 3 and c= - 49 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 ( - 49 )}{2}

Simplify the expression

More Steps

x = \frac{3 \pm 205}{2}

Separate the equation into 2 possible cases

x = \frac{3 + 205}{2} x = \frac{3 - 205}{2}

Solution

x_{1} = \frac{3 - 205}{2}, x_{2} = \frac{3 + 205}{2}

Alternative Form

x_{1} \approx - 5.658911, x_{2} \approx 8.658911

Find the roots