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

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

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

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

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x (3 x - 8) = 11

x = \frac{11}{3}, x = - 1

Decimal Notation

x = 3.66666 \dots, x = - 1

Solution steps

x (3 x - 8) = 11

Expand

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

3 x^{2} - 8 x = 11

Move

11

to the left side

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

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 3 (- 11) = 14

x_{1, 2} = \frac{- ( - 8 ) \pm 14}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 14}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 14}{2 \cdot 3}

x = \frac{- ( - 8 ) + 14}{2 \cdot 3} : \frac{11}{3}

x = \frac{- ( - 8 ) - 14}{2 \cdot 3} : - 1

The solutions to the quadratic equation are:

x = \frac{11}{3}, x = - 1

6 x^{2} + 72 x + 192

16.1 x^{2} + 1120 x - 4480 = 0

\frac{3 a + 8}{7} = 5

(- \frac{1}{3})^{- 3}

∣ m - 4 ∣ = 4

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