What are the solutions to the equation 3x^2-100x+460=0 ?

The solutions to the equation 3x^2-100x+460=0 are x=(2(25+2sqrt(70)))/3 ,x=(2(25-2sqrt(70)))/3

Find the zeros of 3x^2-100x+460=0

The zeros of 3x^2-100x+460=0 are x=(2(25+2sqrt(70)))/3 ,x=(2(25-2sqrt(70)))/3

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3 x^{2} - 100 x + 460 = 0

x = \frac{2 ( 25 + 2 70 )}{3}, x = \frac{2 ( 25 - 2 70 )}{3}

Decimal Notation

x = 27.82213 \dots, x = 5.51119 \dots

Solution steps

3 x^{2} - 100 x + 460 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 3 \cdot 460}{2 \cdot 3}

(- 100)^{2} - 4 \cdot 3 \cdot 460 = 870

x_{1, 2} = \frac{- ( - 100 ) \pm 8 70}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 8 70}{2 \cdot 3}, x_{2} = \frac{- ( - 100 ) - 8 70}{2 \cdot 3}

x = \frac{- ( - 100 ) + 8 70}{2 \cdot 3} : \frac{2 ( 25 + 2 70 )}{3}

x = \frac{- ( - 100 ) - 8 70}{2 \cdot 3} : \frac{2 ( 25 - 2 70 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 25 + 2 70 )}{3}, x = \frac{2 ( 25 - 2 70 )}{3}

(x - 6)^{2} = 19

x = 10 (1 - 0.1875 x)^{2}

3 x^{2} - 7 x = 12

0.4 x^{2} + 5.1 x - 6 = 0

x^{2} = 24

What are the solutions to the equation 3x^2-100x+460=0 ?
The solutions to the equation 3x^2-100x+460=0 are x=(2(25+2sqrt(70)))/3 ,x=(2(25-2sqrt(70)))/3
Find the zeros of 3x^2-100x+460=0
The zeros of 3x^2-100x+460=0 are x=(2(25+2sqrt(70)))/3 ,x=(2(25-2sqrt(70)))/3