What are the solutions to the equation x^2-(2+sqrt(5))x+(2*sqrt(5))=0 ?

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

Find the zeros of x^2-(2+sqrt(5))x+(2*sqrt(5))=0

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

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x^{2} - (2 + 5) x + (2 \cdot 5) = 0

x = 5, x = 2

Decimal Notation

x = 2.23606 \dots, x = 2

Solution steps

x^{2} - (2 + 5) x + (25) = 0

Expand

x^{2} - (2 + 5) x + (25) : x^{2} - 2 x - 5 x + 25

x^{2} - 2 x - 5 x + 25 = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - (2 + 5) x + 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 - 5 ) \pm ( - 2 - 5 ) ^{2} - 4 \cdot 1 \cdot 2 5}{2 \cdot 1}

(- 2 - 5)^{2} - 4 \cdot 1 \cdot 25 = 5 - 2

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 5, x = 2

1 = x^{2} - 1

316.22 = (47116 + 0.6 x)^{2} + (0.8 x)^{2}

a^{2} = - 9

a^{2} = 15

2 x^{2} + 14 x + 70 = 0

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