What are the solutions to the equation 1.8x^2-0.44x-5.112=0 ?

The solutions to the equation 1.8x^2-0.44x-5.112=0 are x=(11+25sqrt(37))/(90),x=(11-25sqrt(37))/(90)

Find the zeros of 1.8x^2-0.44x-5.112=0

The zeros of 1.8x^2-0.44x-5.112=0 are x=(11+25sqrt(37))/(90),x=(11-25sqrt(37))/(90)

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1.8 x^{2} - 0.44 x - 5.112 = 0

x = \frac{11 + 25 37}{90}, x = \frac{11 - 25 37}{90}

Decimal Notation

x = 1.81187 \dots, x = - 1.56743 \dots

Solution steps

1.8 x^{2} - 0.44 x - 5.112 = 0

Multiply both sides by

1000

1800 x^{2} - 440 x - 5112 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 440 ) \pm ( - 440 ) ^{2} - 4 \cdot 1800 ( - 5112 )}{2 \cdot 1800}

(- 440)^{2} - 4 \cdot 1800 (- 5112) = 100037

x_{1, 2} = \frac{- ( - 440 ) \pm 1000 37}{2 \cdot 1800}

Separate the solutions

x_{1} = \frac{- ( - 440 ) + 1000 37}{2 \cdot 1800}, x_{2} = \frac{- ( - 440 ) - 1000 37}{2 \cdot 1800}

x = \frac{- ( - 440 ) + 1000 37}{2 \cdot 1800} : \frac{11 + 25 37}{90}

x = \frac{- ( - 440 ) - 1000 37}{2 \cdot 1800} : \frac{11 - 25 37}{90}

The solutions to the quadratic equation are:

x = \frac{11 + 25 37}{90}, x = \frac{11 - 25 37}{90}

3 = x^{2} + 2 x

8 x y^{2} - 24 x y + 18 x

5^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}

2 x^{2} + 8 x - 42

\frac{x - 1}{x + 1} - \frac{x}{x - 2} > 1

What are the solutions to the equation 1.8x^2-0.44x-5.112=0 ?
The solutions to the equation 1.8x^2-0.44x-5.112=0 are x=(11+25sqrt(37))/(90),x=(11-25sqrt(37))/(90)
Find the zeros of 1.8x^2-0.44x-5.112=0
The zeros of 1.8x^2-0.44x-5.112=0 are x=(11+25sqrt(37))/(90),x=(11-25sqrt(37))/(90)