Solve x^2-3x-5 - ScanMath

Evaluate

x^{2} - 3 x - 5

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

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

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

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

Simplify the expression

More Steps

x = \frac{3 \pm 29}{2}

Separate the equation into 2 possible cases

x = \frac{3 + 29}{2} x = \frac{3 - 29}{2}

Solution

x_{1} = \frac{3 - 29}{2}, x_{2} = \frac{3 + 29}{2}

Alternative Form

x_{1} \approx - 1.192582, x_{2} \approx 4.192582

Find the roots