Solve j^2 - 10j = 13

Evaluate

j^{2} - 10 j = 13

Move the expression to the left side

j^{2} - 10 j - 13 = 0

Substitute a= 1,b= - 10 and c= - 13 into the quadratic formula j = \frac{- b \pm b ^{2} - 4 a c}{2 a}

j = \frac{10 \pm ( - 10 ) ^{2} - 4 ( - 13 )}{2}

Simplify the expression

More Steps

j = \frac{10 \pm 152}{2}

Simplify the radical expression

More Steps

j = \frac{10 \pm 2 38}{2}

Separate the equation into 2 possible cases

j = \frac{10 + 2 38}{2} j = \frac{10 - 2 38}{2}

Simplify the expression

More Steps

j = 5 + 38 j = \frac{10 - 2 38}{2}

Simplify the expression

More Steps

j = 5 + 38 j = 5 - 38

Solution

j_{1} = 5 - 38, j_{2} = 5 + 38

Alternative Form

j_{1} \approx - 1.164414, j_{2} \approx 11.164414

Solve the quadratic equation