Solve y^2 - y - 4

Evaluate

y^{2} - y - 4

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

y^{2} - y - 4 = 0

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

y = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 4 )}{2}

Simplify the expression

More Steps

y = \frac{1 \pm 17}{2}

Separate the equation into 2 possible cases

y = \frac{1 + 17}{2} y = \frac{1 - 17}{2}

Solution

y_{1} = \frac{1 - 17}{2}, y_{2} = \frac{1 + 17}{2}

Alternative Form

y_{1} \approx - 1.561553, y_{2} \approx 2.561553

Find the roots