What are the solutions to the equation 0.1x^2-18.75x-250=0 ?

The solutions to the equation 0.1x^2-18.75x-250=0 are x=200,x=-25/2

Find the zeros of 0.1x^2-18.75x-250=0

The zeros of 0.1x^2-18.75x-250=0 are x=200,x=-25/2

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0.1 x^{2} - 18.75 x - 250 = 0

x = 200, x = - \frac{25}{2}

Decimal Notation

x = 200, x = - 12.5

Solution steps

0.1 x^{2} - 18.75 x - 250 = 0

Multiply both sides by

100

10 x^{2} - 1875 x - 25000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1875 ) \pm ( - 1875 ) ^{2} - 4 \cdot 10 ( - 25000 )}{2 \cdot 10}

(- 1875)^{2} - 4 \cdot 10 (- 25000) = 2125

x_{1, 2} = \frac{- ( - 1875 ) \pm 2125}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 1875 ) + 2125}{2 \cdot 10}, x_{2} = \frac{- ( - 1875 ) - 2125}{2 \cdot 10}

x = \frac{- ( - 1875 ) + 2125}{2 \cdot 10} : 200

x = \frac{- ( - 1875 ) - 2125}{2 \cdot 10} : - \frac{25}{2}

The solutions to the quadratic equation are:

x = 200, x = - \frac{25}{2}

3 x - 4 = 5 x - 10

(x - 1)^{4} - 1

∣ 5 x - 14 ∣ = - 6

\frac{4 x ^{2}}{5 y} \cdot \frac{7 y}{12 x ^{4}}

x = 0.2 \times 2 + (2 - 0.2) \times 1

What are the solutions to the equation 0.1x^2-18.75x-250=0 ?
The solutions to the equation 0.1x^2-18.75x-250=0 are x=200,x=-25/2
Find the zeros of 0.1x^2-18.75x-250=0
The zeros of 0.1x^2-18.75x-250=0 are x=200,x=-25/2