What are the solutions to the equation 2x^2-10x+10=0 ?

The solutions to the equation 2x^2-10x+10=0 are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

Find the zeros of 2x^2-10x+10=0

The zeros of 2x^2-10x+10=0 are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

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

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Decimal Notation

x = 3.61803 \dots, x = 1.38196 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 2 \cdot 10 = 25

x_{1, 2} = \frac{- ( - 10 ) \pm 2 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 5}{2 \cdot 2}, x_{2} = \frac{- ( - 10 ) - 2 5}{2 \cdot 2}

x = \frac{- ( - 10 ) + 2 5}{2 \cdot 2} : \frac{5 + 5}{2}

x = \frac{- ( - 10 ) - 2 5}{2 \cdot 2} : \frac{5 - 5}{2}

The solutions to the quadratic equation are:

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x - 3 = x^{2}

y^{2} = 24 y

4 x (x - 6) = 5

4 x (x - 6) = 7

2 x^{2} = 10 x + 48

What are the solutions to the equation 2x^2-10x+10=0 ?
The solutions to the equation 2x^2-10x+10=0 are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2
Find the zeros of 2x^2-10x+10=0
The zeros of 2x^2-10x+10=0 are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2