What are the solutions to the equation 5^2+12^2=2x^2 ?

The solutions to the equation 5^2+12^2=2x^2 are x=(13)/(sqrt(2)),x=-(13)/(sqrt(2))

Find the zeros of 5^2+12^2=2x^2

The zeros of 5^2+12^2=2x^2 are x=(13)/(sqrt(2)),x=-(13)/(sqrt(2))

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5^{2} + 1 2^{2} = 2 x^{2}

x = \frac{13}{2}, x = - \frac{13}{2}

Decimal Notation

x = 9.19238 \dots, x = - 9.19238 \dots

Solution steps

5^{2} + 1 2^{2} = 2 x^{2}

Switch sides

2 x^{2} = 5^{2} + 1 2^{2}

5^{2} = 25

2 x^{2} = 25 + 1 2^{2}

1 2^{2} = 144

2 x^{2} = 25 + 144

Add the numbers:

25 + 144 = 169

2 x^{2} = 169

Divide both sides by

2

x^{2} = \frac{169}{2}

For

x^{2} = f (a)

the solutions are

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

x = \frac{169}{2}, x = - \frac{169}{2}

\frac{169}{2} = \frac{13}{2}

- \frac{169}{2} = - \frac{13}{2}

x = \frac{13}{2}, x = - \frac{13}{2}

8 s^{2} - 7 s + 6 = 0

x^{2} - 4 x - 14 = 0

t, M (t) = - 2 t^{2} + 100 t + 180

0.937058 x^{2} - 2.125884 x + 0.937058 = 0

21 c^{2} - 16 c - 6 = 1 - 2 c

What are the solutions to the equation 5^2+12^2=2x^2 ?
The solutions to the equation 5^2+12^2=2x^2 are x=(13)/(sqrt(2)),x=-(13)/(sqrt(2))
Find the zeros of 5^2+12^2=2x^2
The zeros of 5^2+12^2=2x^2 are x=(13)/(sqrt(2)),x=-(13)/(sqrt(2))