What are the solutions to the equation 115400*D^2-251245*D-860295=0 ?

The solutions to the equation 115400*D^2-251245*D-860295=0 are

Find the zeros of 115400*D^2-251245*D-860295=0

The zeros of 115400*D^2-251245*D-860295=0 are

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115400 \cdot D^{2} - 251245 \cdot D - 860295 = 0

D = \frac{50249 + 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}, D = \frac{50249 - 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}

Decimal Notation

D = 4.02795 \dots, D = - 1.85078 \dots

Solution steps

115400 D^{2} - 251245 D - 860295 = 0

Divide both sides by

115400

\frac{115400 D ^{2}}{115400} - \frac{251245 D}{115400} - \frac{860295}{115400} = \frac{0}{115400}

Write in the standard form

a x^{2} + b x + c = 0

D^{2} - \frac{50249 D}{23080} - \frac{172059}{23080} = 0

Solve with the quadratic formula

D_{1, 2} = \frac{- ( - \frac{50249}{23080} ) \pm ( - \frac{50249}{23080} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{172059}{23080} )}{2 \cdot 1}

(- \frac{50249}{23080})^{2} - 4 \cdot 1 \cdot (- \frac{172059}{23080}) = \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}

D_{1, 2} = \frac{- ( - \frac{50249}{23080} ) \pm \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{2 \cdot 1}

Separate the solutions

D_{1} = \frac{- ( - \frac{50249}{23080} ) + \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{2 \cdot 1}, D_{2} = \frac{- ( - \frac{50249}{23080} ) - \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{2 \cdot 1}

D = \frac{- ( - \frac{50249}{23080} ) + \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{2 \cdot 1} : \frac{50249 + 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}

D = \frac{- ( - \frac{50249}{23080} ) - \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{2 \cdot 1} : \frac{50249 - 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}

The solutions to the quadratic equation are:

D = \frac{50249 + 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}, D = \frac{50249 - 23080 \frac{5024 9 ^{2}}{532686400} + \frac{172059}{5770}}{46160}

2 x^{2} - 1922 = 0

(3 x - 7)^{2} - 4 (3 x - 7) - 12 = 0

2 y^{2} + 4 y - 3 = 0

r^{2} - 18 r + 97 = 0

12 x^{2} + 1 = - 7 x

What are the solutions to the equation 115400*D^2-251245*D-860295=0 ?
The solutions to the equation 115400*D^2-251245*D-860295=0 are
Find the zeros of 115400*D^2-251245*D-860295=0
The zeros of 115400*D^2-251245*D-860295=0 are