What are the solutions to the equation x^2+(5sqrt(3))^2=(2x)^2 ?

The solutions to the equation x^2+(5sqrt(3))^2=(2x)^2 are x=5,x=-5

Find the zeros of x^2+(5sqrt(3))^2=(2x)^2

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

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x^{2} + (53)^{2} = (2 x)^{2}

x = 5, x = - 5

Solution steps

x^{2} + (53)^{2} = (2 x)^{2}

Expand

x^{2} + (53)^{2} : x^{2} + 75

Expand

(2 x)^{2} : 4 x^{2}

x^{2} + 75 = 4 x^{2}

Move

75

to the right side

x^{2} = 4 x^{2} - 75

Move

4 x^{2}

to the left side

- 3 x^{2} = - 75

Divide both sides by

- 3

x^{2} = 25

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = 25, x = - 25

25 = 5

- 25 = - 5

x = 5, x = - 5

2 x^{2} + 36 = - 18 x

(x - 4)^{2} - 169 = 0

18 + 2 x^{2} = 2 (9 \cdot 5)

(3 x + 7)^{2} = 36

- 5 x^{2} + 5 x + 3 = 0

What are the solutions to the equation x^2+(5sqrt(3))^2=(2x)^2 ?
The solutions to the equation x^2+(5sqrt(3))^2=(2x)^2 are x=5,x=-5
Find the zeros of x^2+(5sqrt(3))^2=(2x)^2
The zeros of x^2+(5sqrt(3))^2=(2x)^2 are x=5,x=-5