What are the solutions to the equation x^2-0.025*x-0.075=0 ?

The solutions to the equation x^2-0.025*x-0.075=0 are x=(1+sqrt(481))/(80),x=(1-sqrt(481))/(80)

Find the zeros of x^2-0.025*x-0.075=0

The zeros of x^2-0.025*x-0.075=0 are x=(1+sqrt(481))/(80),x=(1-sqrt(481))/(80)

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x^{2} - 0.025 \cdot x - 0.075 = 0

x = \frac{1 + 481}{80}, x = \frac{1 - 481}{80}

Decimal Notation

x = 0.28664 \dots, x = - 0.26164 \dots

Solution steps

x^{2} - 0.025 x - 0.075 = 0

Multiply both sides by

1000

1000 x^{2} - 25 x - 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 1000 ( - 75 )}{2 \cdot 1000}

(- 25)^{2} - 4 \cdot 1000 (- 75) = 25481

x_{1, 2} = \frac{- ( - 25 ) \pm 25 481}{2 \cdot 1000}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 25 481}{2 \cdot 1000}, x_{2} = \frac{- ( - 25 ) - 25 481}{2 \cdot 1000}

x = \frac{- ( - 25 ) + 25 481}{2 \cdot 1000} : \frac{1 + 481}{80}

x = \frac{- ( - 25 ) - 25 481}{2 \cdot 1000} : \frac{1 - 481}{80}

The solutions to the quadratic equation are:

x = \frac{1 + 481}{80}, x = \frac{1 - 481}{80}

9 x^{2} - 420 x + 3510 = 0

x^{2} + 3 x - 5

x^{2} + 3 x + 9

- 16 = x^{2} - 10 x

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

What are the solutions to the equation x^2-0.025*x-0.075=0 ?
The solutions to the equation x^2-0.025*x-0.075=0 are x=(1+sqrt(481))/(80),x=(1-sqrt(481))/(80)
Find the zeros of x^2-0.025*x-0.075=0
The zeros of x^2-0.025*x-0.075=0 are x=(1+sqrt(481))/(80),x=(1-sqrt(481))/(80)