What are the solutions to the equation x(8x-3)=11 ?

The solutions to the equation x(8x-3)=11 are x= 11/8 ,x=-1

Find the zeros of x(8x-3)=11

The zeros of x(8x-3)=11 are x= 11/8 ,x=-1

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x (8 x - 3) = 11

x = \frac{11}{8}, x = - 1

Decimal Notation

x = 1.375, x = - 1

Solution steps

x (8 x - 3) = 11

Expand

x (8 x - 3) : 8 x^{2} - 3 x

8 x^{2} - 3 x = 11

Move

11

to the left side

8 x^{2} - 3 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 8 ( - 11 )}{2 \cdot 8}

(- 3)^{2} - 4 \cdot 8 (- 11) = 19

x_{1, 2} = \frac{- ( - 3 ) \pm 19}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 19}{2 \cdot 8}, x_{2} = \frac{- ( - 3 ) - 19}{2 \cdot 8}

x = \frac{- ( - 3 ) + 19}{2 \cdot 8} : \frac{11}{8}

x = \frac{- ( - 3 ) - 19}{2 \cdot 8} : - 1

The solutions to the quadratic equation are:

x = \frac{11}{8}, x = - 1

5 b \geq 10

2 x^{2} + 1 = 2 x + 9

3 x - 4 = 8

(2 x - 9)^{2} = 9

\frac{\frac{7}{w} + \frac{3}{x}}{\frac{3}{w} - \frac{7}{x}}

What are the solutions to the equation x(8x-3)=11 ?
The solutions to the equation x(8x-3)=11 are x= 11/8 ,x=-1
Find the zeros of x(8x-3)=11
The zeros of x(8x-3)=11 are x= 11/8 ,x=-1