What are the solutions to the equation 5x^2-10x=6 ?

The solutions to the equation 5x^2-10x=6 are x=(5+sqrt(55))/5 ,x=(5-sqrt(55))/5

Find the zeros of 5x^2-10x=6

The zeros of 5x^2-10x=6 are x=(5+sqrt(55))/5 ,x=(5-sqrt(55))/5

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5 x^{2} - 10 x = 6

x = \frac{5 + 55}{5}, x = \frac{5 - 55}{5}

Decimal Notation

x = 2.48323 \dots, x = - 0.48323 \dots

Solution steps

5 x^{2} - 10 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 6) = 255

x_{1, 2} = \frac{- ( - 10 ) \pm 2 55}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 55}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 55}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 55}{2 \cdot 5} : \frac{5 + 55}{5}

x = \frac{- ( - 10 ) - 2 55}{2 \cdot 5} : \frac{5 - 55}{5}

The solutions to the quadratic equation are:

x = \frac{5 + 55}{5}, x = \frac{5 - 55}{5}

9 x^{2} + 54 x + 79 = 0

- 4.9 x^{2} + 205.06 x + 210 = 0

v, r = \frac{v ^{2} p L}{a}

t^{2} + 3 t - 2 = 0

3 x^{2} - 24 x + 54 = 0

What are the solutions to the equation 5x^2-10x=6 ?
The solutions to the equation 5x^2-10x=6 are x=(5+sqrt(55))/5 ,x=(5-sqrt(55))/5
Find the zeros of 5x^2-10x=6
The zeros of 5x^2-10x=6 are x=(5+sqrt(55))/5 ,x=(5-sqrt(55))/5