What are the solutions to the equation x(8x-5)=13 ?

The solutions to the equation x(8x-5)=13 are x= 13/8 ,x=-1

Find the zeros of x(8x-5)=13

The zeros of x(8x-5)=13 are x= 13/8 ,x=-1

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x (8 x - 5) = 13

x = \frac{13}{8}, x = - 1

Decimal Notation

x = 1.625, x = - 1

Solution steps

x (8 x - 5) = 13

Expand

x (8 x - 5) : 8 x^{2} - 5 x

8 x^{2} - 5 x = 13

Move

13

to the left side

8 x^{2} - 5 x - 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 8 ( - 13 )}{2 \cdot 8}

(- 5)^{2} - 4 \cdot 8 (- 13) = 21

x_{1, 2} = \frac{- ( - 5 ) \pm 21}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 21}{2 \cdot 8}, x_{2} = \frac{- ( - 5 ) - 21}{2 \cdot 8}

x = \frac{- ( - 5 ) + 21}{2 \cdot 8} : \frac{13}{8}

x = \frac{- ( - 5 ) - 21}{2 \cdot 8} : - 1

The solutions to the quadratic equation are:

x = \frac{13}{8}, x = - 1

26 \cdot 3

\frac{52 !}{5 ! ( 52 - 5 ) !}

1 - (\frac{5}{6})^{4}

y - \frac{8}{9} = \frac{1}{9}

2 x + x + 5 - 5 = 6

What are the solutions to the equation x(8x-5)=13 ?
The solutions to the equation x(8x-5)=13 are x= 13/8 ,x=-1
Find the zeros of x(8x-5)=13
The zeros of x(8x-5)=13 are x= 13/8 ,x=-1