What are the solutions to the equation (3x-1)(x-2)=22 ?

The solutions to the equation (3x-1)(x-2)=22 are x=4,x=-5/3

Find the zeros of (3x-1)(x-2)=22

The zeros of (3x-1)(x-2)=22 are x=4,x=-5/3

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(3 x - 1) (x - 2) = 22

x = 4, x = - \frac{5}{3}

Decimal Notation

x = 4, x = - 1.66666 \dots

Solution steps

(3 x - 1) (x - 2) = 22

Expand

(3 x - 1) (x - 2) : 3 x^{2} - 7 x + 2

3 x^{2} - 7 x + 2 = 22

Move

22

to the left side

3 x^{2} - 7 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 20 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 20) = 17

x_{1, 2} = \frac{- ( - 7 ) \pm 17}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 17}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 17}{2 \cdot 3}

x = \frac{- ( - 7 ) + 17}{2 \cdot 3} : 4

x = \frac{- ( - 7 ) - 17}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = 4, x = - \frac{5}{3}

2 x^{2} - 9 x = 0

x, x^{2} y + 2 y^{3} = 3 x + 2 y

4 n^{2} - 8 n + 90 = 9

x, h + g = x^{2}

What are the solutions to the equation (3x-1)(x-2)=22 ?
The solutions to the equation (3x-1)(x-2)=22 are x=4,x=-5/3
Find the zeros of (3x-1)(x-2)=22
The zeros of (3x-1)(x-2)=22 are x=4,x=-5/3