What are the solutions to the equation 3/2 x^2-6x+5=0 ?

The solutions to the equation 3/2 x^2-6x+5=0 are x=(6+sqrt(6))/3 ,x=(6-sqrt(6))/3

Find the zeros of 3/2 x^2-6x+5=0

The zeros of 3/2 x^2-6x+5=0 are x=(6+sqrt(6))/3 ,x=(6-sqrt(6))/3

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\frac{3}{2} x^{2} - 6 x + 5 = 0

x = \frac{6 + 6}{3}, x = \frac{6 - 6}{3}

Decimal Notation

x = 2.81649 \dots, x = 1.18350 \dots

Solution steps

\frac{3}{2} x^{2} - 6 x + 5 = 0

Multiply both sides by

2

3 x^{2} - 12 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 3 \cdot 10}{2 \cdot 3}

(- 12)^{2} - 4 \cdot 3 \cdot 10 = 26

x_{1, 2} = \frac{- ( - 12 ) \pm 2 6}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 2 6}{2 \cdot 3}, x_{2} = \frac{- ( - 12 ) - 2 6}{2 \cdot 3}

x = \frac{- ( - 12 ) + 2 6}{2 \cdot 3} : \frac{6 + 6}{3}

x = \frac{- ( - 12 ) - 2 6}{2 \cdot 3} : \frac{6 - 6}{3}

The solutions to the quadratic equation are:

x = \frac{6 + 6}{3}, x = \frac{6 - 6}{3}

x^{2} + 103 = - 18 x + 13

(2 b^{2} + 8 b) - 19 = 5

x^{2} = 4 b

- 2 x^{2} - 4 x + 0

3 x^{2} - 32 = 0

What are the solutions to the equation 3/2 x^2-6x+5=0 ?
The solutions to the equation 3/2 x^2-6x+5=0 are x=(6+sqrt(6))/3 ,x=(6-sqrt(6))/3
Find the zeros of 3/2 x^2-6x+5=0
The zeros of 3/2 x^2-6x+5=0 are x=(6+sqrt(6))/3 ,x=(6-sqrt(6))/3