Solve x^2-3x-7 - ScanMath

Evaluate

x^{2} - 3 x - 7

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

x^{2} - 3 x - 7 = 0

Substitute a= 1,b= - 3 and c= - 7 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 ( - 7 )}{2}

Simplify the expression

More Steps

x = \frac{3 \pm 37}{2}

Separate the equation into 2 possible cases

x = \frac{3 + 37}{2} x = \frac{3 - 37}{2}

Solution

x_{1} = \frac{3 - 37}{2}, x_{2} = \frac{3 + 37}{2}

Alternative Form

x_{1} \approx - 1.541381, x_{2} \approx 4.541381

Find the roots