What are the solutions to the equation x(2x-1)=10 ?

The solutions to the equation x(2x-1)=10 are x= 5/2 ,x=-2

Find the zeros of x(2x-1)=10

The zeros of x(2x-1)=10 are x= 5/2 ,x=-2

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x (2 x - 1) = 10

x = \frac{5}{2}, x = - 2

Decimal Notation

x = 2.5, x = - 2

Solution steps

x (2 x - 1) = 10

Expand

x (2 x - 1) : 2 x^{2} - x

2 x^{2} - x = 10

Move

10

to the left side

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

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 2 (- 10) = 9

x_{1, 2} = \frac{- ( - 1 ) \pm 9}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 9}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 9}{2 \cdot 2}

x = \frac{- ( - 1 ) + 9}{2 \cdot 2} : \frac{5}{2}

x = \frac{- ( - 1 ) - 9}{2 \cdot 2} : - 2

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = - 2

8 x^{2} - 22 x = 21

(x + 7) (x - 7) = 3 x

10 = 6 t - t^{2}

2 m^{2} - 6 m + 10 = 3 m - m^{2} - 6

32 x^{2} - 8 x + 1 = 0

What are the solutions to the equation x(2x-1)=10 ?
The solutions to the equation x(2x-1)=10 are x= 5/2 ,x=-2
Find the zeros of x(2x-1)=10
The zeros of x(2x-1)=10 are x= 5/2 ,x=-2