What are the solutions to the equation x(5x-6)=-1 ?

The solutions to the equation x(5x-6)=-1 are x=1,x= 1/5

Find the zeros of x(5x-6)=-1

The zeros of x(5x-6)=-1 are x=1,x= 1/5

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x (5 x - 6) = - 1

x = 1, x = \frac{1}{5}

Decimal Notation

x = 1, x = 0.2

Solution steps

x (5 x - 6) = - 1

Expand

x (5 x - 6) : 5 x^{2} - 6 x

5 x^{2} - 6 x = - 1

Move

1

to the left side

5 x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 5 \cdot 1 = 4

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

Separate the solutions

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

x = \frac{- ( - 6 ) + 4}{2 \cdot 5} : 1

x = \frac{- ( - 6 ) - 4}{2 \cdot 5} : \frac{1}{5}

The solutions to the quadratic equation are:

x = 1, x = \frac{1}{5}

2 x (3 x - 1) = 8

k^{2} - 7 k - 8 = 0

d^{2} = (+ 4 - 1)^{2} + (+ 16 - 1)^{2}

11 m^{2} + 14 = 47

6 x^{2} = - 3 x

What are the solutions to the equation x(5x-6)=-1 ?
The solutions to the equation x(5x-6)=-1 are x=1,x= 1/5
Find the zeros of x(5x-6)=-1
The zeros of x(5x-6)=-1 are x=1,x= 1/5