What are the solutions to the equation x^2-10x+20=0 ?

The solutions to the equation x^2-10x+20=0 are x=5+sqrt(5),x=5-sqrt(5)

Find the zeros of x^2-10x+20=0

The zeros of x^2-10x+20=0 are x=5+sqrt(5),x=5-sqrt(5)

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x^{2} - 10 x + 20 = 0

x = 5 + 5, x = 5 - 5

Decimal Notation

x = 7.23606 \dots, x = 2.76393 \dots

Solution steps

x^{2} - 10 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 20 = 25

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

Separate the solutions

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

x = \frac{- ( - 10 ) + 2 5}{2 \cdot 1} : 5 + 5

x = \frac{- ( - 10 ) - 2 5}{2 \cdot 1} : 5 - 5

The solutions to the quadratic equation are:

x = 5 + 5, x = 5 - 5

3 x^{2} y - 2 x y^{2}

3 z - 1 = 14

(3^{- \frac{2}{3}} \cdot 3^{\frac{1}{3}})^{- 1}

49 - 144 x^{2}

15 x^{2} - 28 x + 12

What are the solutions to the equation x^2-10x+20=0 ?
The solutions to the equation x^2-10x+20=0 are x=5+sqrt(5),x=5-sqrt(5)
Find the zeros of x^2-10x+20=0
The zeros of x^2-10x+20=0 are x=5+sqrt(5),x=5-sqrt(5)