What are the solutions to the equation (sqrt(15))^2=(2sqrt(3))^2+x^2 ?

The solutions to the equation (sqrt(15))^2=(2sqrt(3))^2+x^2 are x=sqrt(3),x=-sqrt(3)

Find the zeros of (sqrt(15))^2=(2sqrt(3))^2+x^2

The zeros of (sqrt(15))^2=(2sqrt(3))^2+x^2 are x=sqrt(3),x=-sqrt(3)

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(15)^{2} = (23)^{2} + x^{2}

x = 3, x = - 3

Decimal Notation

x = 1.73205 \dots, x = - 1.73205 \dots

Solution steps

(15)^{2} = (23)^{2} + x^{2}

Expand

(15)^{2} : 15

Expand

(23)^{2} + x^{2} : 12 + x^{2}

15 = 12 + x^{2}

Switch sides

12 + x^{2} = 15

Move

12

to the right side

x^{2} = 3

For

x^{2} = f (a)

the solutions are

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

x = 3, x = - 3

0 = x^{2} - 2 x - 63

(x^{2} + 1)^{\frac{1}{2}} + 2 (x^{2} + 1)^{- \frac{1}{2}}

2 x^{4} - x^{3} - 9 x^{2} + 4 x + 4

3 (4 x - 1)^{2} - 7 (4 x - 1) = - 4

4 - 2 x < 3 (3 - x)

What are the solutions to the equation (sqrt(15))^2=(2sqrt(3))^2+x^2 ?
The solutions to the equation (sqrt(15))^2=(2sqrt(3))^2+x^2 are x=sqrt(3),x=-sqrt(3)
Find the zeros of (sqrt(15))^2=(2sqrt(3))^2+x^2
The zeros of (sqrt(15))^2=(2sqrt(3))^2+x^2 are x=sqrt(3),x=-sqrt(3)