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+3sqrt(5),x=5-3sqrt(5)

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

The zeros of x^2-10x-20=0 are x=5+3sqrt(5),x=5-3sqrt(5)

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

x = 5 + 35, x = 5 - 35

Decimal Notation

x = 11.70820 \dots, x = - 1.70820 \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) = 65

x_{1, 2} = \frac{- ( - 10 ) \pm 6 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 6 5}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 6 5}{2 \cdot 1}

x = \frac{- ( - 10 ) + 6 5}{2 \cdot 1} : 5 + 35

x = \frac{- ( - 10 ) - 6 5}{2 \cdot 1} : 5 - 35

The solutions to the quadratic equation are:

x = 5 + 35, x = 5 - 35

∣ x ∣ + 6 \geq 13

x^{5} y + x^{2} y

\frac{3 + 1}{1 - 3}

1 - \frac{2}{9}

10 b - 90

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+3sqrt(5),x=5-3sqrt(5)
Find the zeros of x^2-10x-20=0
The zeros of x^2-10x-20=0 are x=5+3sqrt(5),x=5-3sqrt(5)