Solve d^2 - 10d = -3

Evaluate

d^{2} - 10 d = - 3

Move the expression to the left side

d^{2} - 10 d + 3 = 0

Substitute a= 1,b= - 10 and c= 3 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 3}{2}

Simplify the expression

More Steps

d = \frac{10 \pm 88}{2}

Simplify the radical expression

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d = \frac{10 \pm 2 22}{2}

Separate the equation into 2 possible cases

d = \frac{10 + 2 22}{2} d = \frac{10 - 2 22}{2}

Simplify the expression

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d = 5 + 22 d = \frac{10 - 2 22}{2}

Simplify the expression

More Steps

d = 5 + 22 d = 5 - 22

Solution

d_{1} = 5 - 22, d_{2} = 5 + 22

Alternative Form

d_{1} \approx 0.309584, d_{2} \approx 9.690416

Solve the quadratic equation