What are the solutions to the equation x(3x-10)=13 ?

The solutions to the equation x(3x-10)=13 are x= 13/3 ,x=-1

Find the zeros of x(3x-10)=13

The zeros of x(3x-10)=13 are x= 13/3 ,x=-1

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x (3 x - 10) = 13

x = \frac{13}{3}, x = - 1

Decimal Notation

x = 4.33333 \dots, x = - 1

Solution steps

x (3 x - 10) = 13

Expand

x (3 x - 10) : 3 x^{2} - 10 x

3 x^{2} - 10 x = 13

Move

13

to the left side

3 x^{2} - 10 x - 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 13 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 13) = 16

x_{1, 2} = \frac{- ( - 10 ) \pm 16}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 16}{2 \cdot 3}, x_{2} = \frac{- ( - 10 ) - 16}{2 \cdot 3}

x = \frac{- ( - 10 ) + 16}{2 \cdot 3} : \frac{13}{3}

x = \frac{- ( - 10 ) - 16}{2 \cdot 3} : - 1

The solutions to the quadratic equation are:

x = \frac{13}{3}, x = - 1

47 x y^{6} + 9 x^{3} y^{3} z

6 (x - 1) = 6 x - 1

(m + 2) (m + 1) = 5 (m + 3)

216 x^{3} - 125 y^{3}

1.06 g - 3 = 0.71

What are the solutions to the equation x(3x-10)=13 ?
The solutions to the equation x(3x-10)=13 are x= 13/3 ,x=-1
Find the zeros of x(3x-10)=13
The zeros of x(3x-10)=13 are x= 13/3 ,x=-1