What are the solutions to the equation solvefor x,x*0.6(x-1)=9(x+2) ?

The solutions to the equation solvefor x,x*0.6(x-1)=9(x+2) are x=8+sqrt(94),x=8-sqrt(94)

Find the zeros of solvefor x,x*0.6(x-1)=9(x+2)

The zeros of solvefor x,x*0.6(x-1)=9(x+2) are x=8+sqrt(94),x=8-sqrt(94)

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x, x \cdot 0.6 (x - 1) = 9 (x + 2)

x = 8 + 94, x = 8 - 94

Decimal Notation

x = 17.69535 \dots, x = - 1.69535 \dots

Solution steps

x \cdot 0.6 (x - 1) = 9 (x + 2)

Multiply both sides by

10

6 x (x - 1) = 90 (x + 2)

Expand

6 x (x - 1) : 6 x^{2} - 6 x

Expand

90 (x + 2) : 90 x + 180

6 x^{2} - 6 x = 90 x + 180

Move

180

to the left side

6 x^{2} - 6 x - 180 = 90 x

Move

90 x

to the left side

6 x^{2} - 96 x - 180 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 96 ) \pm ( - 96 ) ^{2} - 4 \cdot 6 ( - 180 )}{2 \cdot 6}

(- 96)^{2} - 4 \cdot 6 (- 180) = 1294

x_{1, 2} = \frac{- ( - 96 ) \pm 12 94}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 96 ) + 12 94}{2 \cdot 6}, x_{2} = \frac{- ( - 96 ) - 12 94}{2 \cdot 6}

x = \frac{- ( - 96 ) + 12 94}{2 \cdot 6} : 8 + 94

x = \frac{- ( - 96 ) - 12 94}{2 \cdot 6} : 8 - 94

The solutions to the quadratic equation are:

x = 8 + 94, x = 8 - 94

(10 x)^{- 3}

2 - 60

\frac{81}{36}

(- 4 x - 2)^{2}

\frac{3}{( 13 )}

What are the solutions to the equation solvefor x,x*0.6(x-1)=9(x+2) ?
The solutions to the equation solvefor x,x*0.6(x-1)=9(x+2) are x=8+sqrt(94),x=8-sqrt(94)
Find the zeros of solvefor x,x*0.6(x-1)=9(x+2)
The zeros of solvefor x,x*0.6(x-1)=9(x+2) are x=8+sqrt(94),x=8-sqrt(94)