What are the solutions to the equation 6x(x-2)=5 ?

The solutions to the equation 6x(x-2)=5 are x=(6+sqrt(66))/6 ,x=(6-sqrt(66))/6

Find the zeros of 6x(x-2)=5

The zeros of 6x(x-2)=5 are x=(6+sqrt(66))/6 ,x=(6-sqrt(66))/6

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6 x (x - 2) = 5

x = \frac{6 + 66}{6}, x = \frac{6 - 66}{6}

Decimal Notation

x = 2.35400 \dots, x = - 0.35400 \dots

Solution steps

6 x (x - 2) = 5

Expand

6 x (x - 2) : 6 x^{2} - 12 x

6 x^{2} - 12 x = 5

Move

5

to the left side

6 x^{2} - 12 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 6 ( - 5 )}{2 \cdot 6}

(- 12)^{2} - 4 \cdot 6 (- 5) = 266

x_{1, 2} = \frac{- ( - 12 ) \pm 2 66}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 2 66}{2 \cdot 6}, x_{2} = \frac{- ( - 12 ) - 2 66}{2 \cdot 6}

x = \frac{- ( - 12 ) + 2 66}{2 \cdot 6} : \frac{6 + 66}{6}

x = \frac{- ( - 12 ) - 2 66}{2 \cdot 6} : \frac{6 - 66}{6}

The solutions to the quadratic equation are:

x = \frac{6 + 66}{6}, x = \frac{6 - 66}{6}

x^{2} - 12 x + 36 = 0

x^{2} + 9 x + 12 = - 4

(\frac{1}{3} h + 4)^{2} = 16

9 y^{2} - y - 8 = 0

5 x^{2} - 18 = 0

What are the solutions to the equation 6x(x-2)=5 ?
The solutions to the equation 6x(x-2)=5 are x=(6+sqrt(66))/6 ,x=(6-sqrt(66))/6
Find the zeros of 6x(x-2)=5
The zeros of 6x(x-2)=5 are x=(6+sqrt(66))/6 ,x=(6-sqrt(66))/6