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

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

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

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

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

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

Decimal Notation

q = 21.93712 \dots, q = 11.39620 \dots

Solution steps

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

- x^{2} - 18 x + 20 = 0

(2 x + 3)^{2} = - 6

(3 x + 1) (1 - x) - 3 (x + 1)^{2} = x - 3

6 x^{2} + 10 x - 5 = 0

(x^{2} + 15) = 0

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