What are the solutions to the equation 1/2 x^2-3x+1/2 =0 ?

The solutions to the equation 1/2 x^2-3x+1/2 =0 are x=3+2sqrt(2),x=3-2sqrt(2)

Find the zeros of 1/2 x^2-3x+1/2 =0

The zeros of 1/2 x^2-3x+1/2 =0 are x=3+2sqrt(2),x=3-2sqrt(2)

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\frac{1}{2} x^{2} - 3 x + \frac{1}{2} = 0

x = 3 + 22, x = 3 - 22

Decimal Notation

x = 5.82842 \dots, x = 0.17157 \dots

Solution steps

\frac{1}{2} x^{2} - 3 x + \frac{1}{2} = 0

Multiply both sides by

2

x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot 1 = 42

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

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 2}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 2}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 2}{2 \cdot 1} : 3 + 22

x = \frac{- ( - 6 ) - 4 2}{2 \cdot 1} : 3 - 22

The solutions to the quadratic equation are:

x = 3 + 22, x = 3 - 22

\frac{x}{9} + 5 = 3

5 + d > 5 - d

n - n - 1 < 0.01

\frac{∣ x + 2 ∣}{x} + \frac{x - 1}{x + 1} = 0

26 - \frac{5}{8} x = - \frac{5}{8} x + 26

What are the solutions to the equation 1/2 x^2-3x+1/2 =0 ?
The solutions to the equation 1/2 x^2-3x+1/2 =0 are x=3+2sqrt(2),x=3-2sqrt(2)
Find the zeros of 1/2 x^2-3x+1/2 =0
The zeros of 1/2 x^2-3x+1/2 =0 are x=3+2sqrt(2),x=3-2sqrt(2)