Solve a^2-15a-7=0

Evaluate

a^{2} - 15 a - 7 = 0

Substitute a= 1,b= - 15 and c= - 7 into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{15 \pm ( - 15 ) ^{2} - 4 ( - 7 )}{2}

Simplify the expression

More Steps

a = \frac{15 \pm 253}{2}

Separate the equation into 2 possible cases

a = \frac{15 + 253}{2} a = \frac{15 - 253}{2}

Solution

a_{1} = \frac{15 - 253}{2}, a_{2} = \frac{15 + 253}{2}

Alternative Form

a_{1} \approx - 0.452987, a_{2} \approx 15.452987

Solve the quadratic equation