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

The solutions to the equation x^2-2xsqrt(2)-5=0 are x=sqrt(2)+sqrt(7),x=sqrt(2)-sqrt(7)

Find the zeros of x^2-2xsqrt(2)-5=0

The zeros of x^2-2xsqrt(2)-5=0 are x=sqrt(2)+sqrt(7),x=sqrt(2)-sqrt(7)

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

x = 2 + 7, x = 2 - 7

Decimal

x = 4.05996 \dots, x = - 1.23153 \dots

Solution steps

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

Write in the standard form

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

x^{2} - 22 x - 5 = 0

Solve with the quadratic formula

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

(- 22)^{2} - 4 \cdot 1 \cdot (- 5) = 27

x_{1, 2} = \frac{- ( - 2 2 ) \pm 2 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 2 ) + 2 7}{2 \cdot 1}, x_{2} = \frac{- ( - 2 2 ) - 2 7}{2 \cdot 1}

x = \frac{- ( - 2 2 ) + 2 7}{2 \cdot 1} : 2 + 7

x = \frac{- ( - 2 2 ) - 2 7}{2 \cdot 1} : 2 - 7

The solutions to the quadratic equation are:

x = 2 + 7, x = 2 - 7

2 W^{2} + 3 W - 54 = 0

k^{2} + 10 k + 15 = 0

s^{2} + 6 s + 25

35 x^{2} + 17 x = - 2

x^{2} + 18 x + 81 = 0

What are the solutions to the equation x^2-2xsqrt(2)-5=0 ?
The solutions to the equation x^2-2xsqrt(2)-5=0 are x=sqrt(2)+sqrt(7),x=sqrt(2)-sqrt(7)
Find the zeros of x^2-2xsqrt(2)-5=0
The zeros of x^2-2xsqrt(2)-5=0 are x=sqrt(2)+sqrt(7),x=sqrt(2)-sqrt(7)