What are the solutions to the equation 1.5x^2-6x+3=0 ?

The solutions to the equation 1.5x^2-6x+3=0 are x=2+sqrt(2),x=2-sqrt(2)

Find the zeros of 1.5x^2-6x+3=0

The zeros of 1.5x^2-6x+3=0 are x=2+sqrt(2),x=2-sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1.5 x^{2} - 6 x + 3 = 0

x = 2 + 2, x = 2 - 2

Decimal Notation

x = 3.41421 \dots, x = 0.58578 \dots

Solution steps

1.5 x^{2} - 6 x + 3 = 0

Multiply both sides by

10

15 x^{2} - 60 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 15 \cdot 30}{2 \cdot 15}

(- 60)^{2} - 4 \cdot 15 \cdot 30 = 302

x_{1, 2} = \frac{- ( - 60 ) \pm 30 2}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 30 2}{2 \cdot 15}, x_{2} = \frac{- ( - 60 ) - 30 2}{2 \cdot 15}

x = \frac{- ( - 60 ) + 30 2}{2 \cdot 15} : 2 + 2

x = \frac{- ( - 60 ) - 30 2}{2 \cdot 15} : 2 - 2

The solutions to the quadratic equation are:

x = 2 + 2, x = 2 - 2

(x + 1)^{2} = 3 (x - 1)^{2}

x^{2} - 5 = 8 - 2 x^{2}

5 x (x - 2) = 6 + 3 x

x, x^{2} - 15 - m (2 x - 8) = 0

x^{2} - 5 x + 3 = 0

What are the solutions to the equation 1.5x^2-6x+3=0 ?
The solutions to the equation 1.5x^2-6x+3=0 are x=2+sqrt(2),x=2-sqrt(2)
Find the zeros of 1.5x^2-6x+3=0
The zeros of 1.5x^2-6x+3=0 are x=2+sqrt(2),x=2-sqrt(2)