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

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

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

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

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

x = 1, x = \frac{1}{2}

Decimal Notation

x = 1, x = 0.5

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 2 \cdot 1 = 1

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1, x = \frac{1}{2}

x^{2} + 100 x + 2500 = 0

x^{2} - 19 x = 0

x^{2} - 6 x + 9 = 0

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

x^{2} + 22 x + 121 = 169

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