What are the solutions to the equation 6x^2-30x+50=500 ?

The solutions to the equation 6x^2-30x+50=500 are x=(5(1+sqrt(13)))/2 ,x=(5(1-sqrt(13)))/2

Find the zeros of 6x^2-30x+50=500

The zeros of 6x^2-30x+50=500 are x=(5(1+sqrt(13)))/2 ,x=(5(1-sqrt(13)))/2

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6 x^{2} - 30 x + 50 = 500

x = \frac{5 ( 1 + 13 )}{2}, x = \frac{5 ( 1 - 13 )}{2}

Decimal Notation

x = 11.51387 \dots, x = - 6.51387 \dots

Solution steps

6 x^{2} - 30 x + 50 = 500

Move

500

to the left side

6 x^{2} - 30 x - 450 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 6 ( - 450 )}{2 \cdot 6}

(- 30)^{2} - 4 \cdot 6 (- 450) = 3013

x_{1, 2} = \frac{- ( - 30 ) \pm 30 13}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 30 13}{2 \cdot 6}, x_{2} = \frac{- ( - 30 ) - 30 13}{2 \cdot 6}

x = \frac{- ( - 30 ) + 30 13}{2 \cdot 6} : \frac{5 ( 1 + 13 )}{2}

x = \frac{- ( - 30 ) - 30 13}{2 \cdot 6} : \frac{5 ( 1 - 13 )}{2}

The solutions to the quadratic equation are:

x = \frac{5 ( 1 + 13 )}{2}, x = \frac{5 ( 1 - 13 )}{2}

(s^{2} + 2 s + 2) = 0

8 x - 2 x^{2} = 0

2 x^{2} - x - 11 = 0

2 (x (x - 5) + 2 (x - 5) + 2 x (x - 5)) = 48

0.03 + 0.08 x - 0.012 x^{2} = 0

What are the solutions to the equation 6x^2-30x+50=500 ?
The solutions to the equation 6x^2-30x+50=500 are x=(5(1+sqrt(13)))/2 ,x=(5(1-sqrt(13)))/2
Find the zeros of 6x^2-30x+50=500
The zeros of 6x^2-30x+50=500 are x=(5(1+sqrt(13)))/2 ,x=(5(1-sqrt(13)))/2