What are the solutions to the equation x^2-6x+8.5=0 ?

The solutions to the equation x^2-6x+8.5=0 are x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2

Find the zeros of x^2-6x+8.5=0

The zeros of x^2-6x+8.5=0 are x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2

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x^{2} - 6 x + 8.5 = 0

x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

Decimal Notation

x = 3.70710 \dots, x = 2.29289 \dots

Solution steps

x^{2} - 6 x + 8.5 = 0

Multiply both sides by

10

10 x^{2} - 60 x + 85 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 10 \cdot 85}{2 \cdot 10}

(- 60)^{2} - 4 \cdot 10 \cdot 85 = 102

x_{1, 2} = \frac{- ( - 60 ) \pm 10 2}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 10 2}{2 \cdot 10}, x_{2} = \frac{- ( - 60 ) - 10 2}{2 \cdot 10}

x = \frac{- ( - 60 ) + 10 2}{2 \cdot 10} : \frac{6 + 2}{2}

x = \frac{- ( - 60 ) - 10 2}{2 \cdot 10} : \frac{6 - 2}{2}

The solutions to the quadratic equation are:

x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

w^{2} - 18 w

(x - (3 + 7)) (x - (3 - 7)) = 0

- 39.662 x^{2} + 548.12 x - 564.5 = 548.12

2 x^{2} = 3 x + 54

1 - 1.9 x - 0.1 x^{2} = 0

What are the solutions to the equation x^2-6x+8.5=0 ?
The solutions to the equation x^2-6x+8.5=0 are x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2
Find the zeros of x^2-6x+8.5=0
The zeros of x^2-6x+8.5=0 are x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2