What are the solutions to the equation 5x^2-50x+30=0 ?

The solutions to the equation 5x^2-50x+30=0 are x=5+sqrt(19),x=5-sqrt(19)

Find the zeros of 5x^2-50x+30=0

The zeros of 5x^2-50x+30=0 are x=5+sqrt(19),x=5-sqrt(19)

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5 x^{2} - 50 x + 30 = 0

x = 5 + 19, x = 5 - 19

Solution steps

5 x^{2} - 50 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 30}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 30 = 1019

x_{1, 2} = \frac{- ( - 50 ) \pm 10 19}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 19}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 19}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 19}{2 \cdot 5} : 5 + 19

x = \frac{- ( - 50 ) - 10 19}{2 \cdot 5} : 5 - 19

The solutions to the quadratic equation are:

x = 5 + 19, x = 5 - 19

(x - 10)^{2} = 11

x^{2} + 6 x - (6 + 7) = 0

3 x^{2} - 6 x - 1

9 x^{2} + 16 x = 0

x (2 x - 1) - 3 (x - 5) = (3 x - 1) (2 + x) - 5

What are the solutions to the equation 5x^2-50x+30=0 ?
The solutions to the equation 5x^2-50x+30=0 are x=5+sqrt(19),x=5-sqrt(19)
Find the zeros of 5x^2-50x+30=0
The zeros of 5x^2-50x+30=0 are x=5+sqrt(19),x=5-sqrt(19)