What are the solutions to the equation x^2-20x+13=0 ?

The solutions to the equation x^2-20x+13=0 are x=10+sqrt(87),x=10-sqrt(87)

Find the zeros of x^2-20x+13=0

The zeros of x^2-20x+13=0 are x=10+sqrt(87),x=10-sqrt(87)

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x^{2} - 20 x + 13 = 0

x = 10 + 87, x = 10 - 87

Decimal Notation

x = 19.32737 \dots, x = 0.67262 \dots

Solution steps

x^{2} - 20 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 13}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 13 = 287

x_{1, 2} = \frac{- ( - 20 ) \pm 2 87}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 2 87}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 2 87}{2 \cdot 1}

x = \frac{- ( - 20 ) + 2 87}{2 \cdot 1} : 10 + 87

x = \frac{- ( - 20 ) - 2 87}{2 \cdot 1} : 10 - 87

The solutions to the quadratic equation are:

x = 10 + 87, x = 10 - 87

3 x + 2 = 4

2 x + 1 = - 2 x + 5

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

4 - 5 y > 39

x^{3} - 7 x^{2} + x - 7

What are the solutions to the equation x^2-20x+13=0 ?
The solutions to the equation x^2-20x+13=0 are x=10+sqrt(87),x=10-sqrt(87)
Find the zeros of x^2-20x+13=0
The zeros of x^2-20x+13=0 are x=10+sqrt(87),x=10-sqrt(87)