What are the solutions to the equation 3x^2-3x+0.54=0 ?

The solutions to the equation 3x^2-3x+0.54=0 are x=(5+sqrt(7))/(10),x=(5-sqrt(7))/(10)

Find the zeros of 3x^2-3x+0.54=0

The zeros of 3x^2-3x+0.54=0 are x=(5+sqrt(7))/(10),x=(5-sqrt(7))/(10)

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3 x^{2} - 3 x + 0.54 = 0

x = \frac{5 + 7}{10}, x = \frac{5 - 7}{10}

Decimal Notation

x = 0.76457 \dots, x = 0.23542 \dots

Solution steps

3 x^{2} - 3 x + 0.54 = 0

Multiply both sides by

100

300 x^{2} - 300 x + 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 \cdot 300 \cdot 54}{2 \cdot 300}

(- 300)^{2} - 4 \cdot 300 \cdot 54 = 607

x_{1, 2} = \frac{- ( - 300 ) \pm 60 7}{2 \cdot 300}

Separate the solutions

x_{1} = \frac{- ( - 300 ) + 60 7}{2 \cdot 300}, x_{2} = \frac{- ( - 300 ) - 60 7}{2 \cdot 300}

x = \frac{- ( - 300 ) + 60 7}{2 \cdot 300} : \frac{5 + 7}{10}

x = \frac{- ( - 300 ) - 60 7}{2 \cdot 300} : \frac{5 - 7}{10}

The solutions to the quadratic equation are:

x = \frac{5 + 7}{10}, x = \frac{5 - 7}{10}

r^{2} - \frac{2}{3} r = 0

x^{2} = [0.0 8^{2} \cdot 0.7 3^{2}] + [0.0 2^{2} \cdot 5.1 4^{2}]

x^{2} + 33 x = 430

21980 = 0.68 \cdot 20 x \cdot (\frac{2.5}{1.4}) (45 - 0.4 x)

(q) = 0.4 q^{2} - 40 q + 40

What are the solutions to the equation 3x^2-3x+0.54=0 ?
The solutions to the equation 3x^2-3x+0.54=0 are x=(5+sqrt(7))/(10),x=(5-sqrt(7))/(10)
Find the zeros of 3x^2-3x+0.54=0
The zeros of 3x^2-3x+0.54=0 are x=(5+sqrt(7))/(10),x=(5-sqrt(7))/(10)