What are the solutions to the equation 3x^2-100x+750=0 ?

The solutions to the equation 3x^2-100x+750=0 are x=(5(10+sqrt(10)))/3 ,x=(5(10-sqrt(10)))/3

Find the zeros of 3x^2-100x+750=0

The zeros of 3x^2-100x+750=0 are x=(5(10+sqrt(10)))/3 ,x=(5(10-sqrt(10)))/3

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3 x^{2} - 100 x + 750 = 0

x = \frac{5 ( 10 + 10 )}{3}, x = \frac{5 ( 10 - 10 )}{3}

Decimal Notation

x = 21.93712 \dots, x = 11.39620 \dots

Solution steps

3 x^{2} - 100 x + 750 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 3 \cdot 750}{2 \cdot 3}

(- 100)^{2} - 4 \cdot 3 \cdot 750 = 1010

x_{1, 2} = \frac{- ( - 100 ) \pm 10 10}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 10 10}{2 \cdot 3}, x_{2} = \frac{- ( - 100 ) - 10 10}{2 \cdot 3}

x = \frac{- ( - 100 ) + 10 10}{2 \cdot 3} : \frac{5 ( 10 + 10 )}{3}

x = \frac{- ( - 100 ) - 10 10}{2 \cdot 3} : \frac{5 ( 10 - 10 )}{3}

The solutions to the quadratic equation are:

x = \frac{5 ( 10 + 10 )}{3}, x = \frac{5 ( 10 - 10 )}{3}

(x + 4) (x + 6) = 8

2 p^{2} + 8 p = - 3

8^{2} = 6^{2} + x^{2}

x (x - 7) + 12 = 0

2 (x + 5)^{2} - 32 = 0

What are the solutions to the equation 3x^2-100x+750=0 ?
The solutions to the equation 3x^2-100x+750=0 are x=(5(10+sqrt(10)))/3 ,x=(5(10-sqrt(10)))/3
Find the zeros of 3x^2-100x+750=0
The zeros of 3x^2-100x+750=0 are x=(5(10+sqrt(10)))/3 ,x=(5(10-sqrt(10)))/3