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

The solutions to the equation 0=x^2-10x+10 are x=5+sqrt(15),x=5-sqrt(15)

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

The zeros of 0=x^2-10x+10 are x=5+sqrt(15),x=5-sqrt(15)

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

x = 5 + 15, x = 5 - 15

Decimal Notation

x = 8.87298 \dots, x = 1.12701 \dots

Solution steps

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

Switch sides

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 1 \cdot 10 = 215

x_{1, 2} = \frac{- ( - 10 ) \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 15}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 15}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 15}{2 \cdot 1} : 5 + 15

x = \frac{- ( - 10 ) - 2 15}{2 \cdot 1} : 5 - 15

The solutions to the quadratic equation are:

x = 5 + 15, x = 5 - 15

x^{2} - 8 x + 11 = 0

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

x^{2} - 20 x + 65 = 14

12 x^{2} - 6 = 0

x, 2 x^{2} - 2 y^{2} - 4 x + 8 y = 6

What are the solutions to the equation 0=x^2-10x+10 ?
The solutions to the equation 0=x^2-10x+10 are x=5+sqrt(15),x=5-sqrt(15)
Find the zeros of 0=x^2-10x+10
The zeros of 0=x^2-10x+10 are x=5+sqrt(15),x=5-sqrt(15)