What are the solutions to the equation x^2-9.9x-312.5=0 ?

The solutions to the equation x^2-9.9x-312.5=0 are x=(99+sqrt(134801))/(20),x=(99-sqrt(134801))/(20)

Find the zeros of x^2-9.9x-312.5=0

The zeros of x^2-9.9x-312.5=0 are x=(99+sqrt(134801))/(20),x=(99-sqrt(134801))/(20)

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x^{2} - 9.9 x - 312.5 = 0

x = \frac{99 + 134801}{20}, x = \frac{99 - 134801}{20}

Decimal Notation

x = 23.30762 \dots, x = - 13.40762 \dots

Solution steps

x^{2} - 9.9 x - 312.5 = 0

Multiply both sides by

10

10 x^{2} - 99 x - 3125 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 99 ) \pm ( - 99 ) ^{2} - 4 \cdot 10 ( - 3125 )}{2 \cdot 10}

(- 99)^{2} - 4 \cdot 10 (- 3125) = 134801

x_{1, 2} = \frac{- ( - 99 ) \pm 134801}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 99 ) + 134801}{2 \cdot 10}, x_{2} = \frac{- ( - 99 ) - 134801}{2 \cdot 10}

x = \frac{- ( - 99 ) + 134801}{2 \cdot 10} : \frac{99 + 134801}{20}

x = \frac{- ( - 99 ) - 134801}{2 \cdot 10} : \frac{99 - 134801}{20}

The solutions to the quadratic equation are:

x = \frac{99 + 134801}{20}, x = \frac{99 - 134801}{20}

E, S = \frac{E ^{2}}{Z}

8 + 4 x - x^{2}

(x - 1)^{2} - 80 = 0

(x + a) = (x + a)^{2}

8 x^{2} - 2.4 x + 0.48 = 0

What are the solutions to the equation x^2-9.9x-312.5=0 ?
The solutions to the equation x^2-9.9x-312.5=0 are x=(99+sqrt(134801))/(20),x=(99-sqrt(134801))/(20)
Find the zeros of x^2-9.9x-312.5=0
The zeros of x^2-9.9x-312.5=0 are x=(99+sqrt(134801))/(20),x=(99-sqrt(134801))/(20)