Solve 10d 10d-82d-9

Question

Simplify the expression

100 d^{2} - 82 d - 9

Show Solution

d_{1} = \frac{41 - 2581}{100}, d_{2} = \frac{41 + 2581}{100}

Alternative Form

d_{1} \approx - 0.098035, d_{2} \approx 0.918035

Evaluate

10 d \times 10 d - 82 d - 9

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

10 d \times 10 d - 82 d - 9 = 0

Multiply

More Steps

100 d^{2} - 82 d - 9 = 0

Substitute a= 100,b= - 82 and c= - 9 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{82 \pm ( - 82 ) ^{2} - 4 \times 100 ( - 9 )}{2 \times 100}

Simplify the expression

d = \frac{82 \pm ( - 82 ) ^{2} - 4 \times 100 ( - 9 )}{200}

Simplify the expression

More Steps

d = \frac{82 \pm 10324}{200}

Simplify the radical expression

More Steps

d = \frac{82 \pm 2 2581}{200}

Separate the equation into 2 possible cases

d = \frac{82 + 2 2581}{200} d = \frac{82 - 2 2581}{200}

Simplify the expression

More Steps

d = \frac{41 + 2581}{100} d = \frac{82 - 2 2581}{200}

Simplify the expression

More Steps

d = \frac{41 + 2581}{100} d = \frac{41 - 2581}{100}

Solution

d_{1} = \frac{41 - 2581}{100}, d_{2} = \frac{41 + 2581}{100}

Alternative Form

d_{1} \approx - 0.098035, d_{2} \approx 0.918035

Show Solution