What are the solutions to the equation 5^2=a^2+(5/2)^2 ?

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

Find the zeros of 5^2=a^2+(5/2)^2

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

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5^{2} = a^{2} + (\frac{5}{2})^{2}

a = \frac{5 3}{2}, a = - \frac{5 3}{2}

Decimal Notation

a = 4.33012 \dots, a = - 4.33012 \dots

Solution steps

5^{2} = a^{2} + (\frac{5}{2})^{2}

Expand

5^{2} : 25

Expand

a^{2} + (\frac{5}{2})^{2} : a^{2} + \frac{25}{4}

25 = a^{2} + \frac{25}{4}

Switch sides

a^{2} + \frac{25}{4} = 25

Move

\frac{25}{4}

to the right side

a^{2} = 25 - \frac{25}{4}

Simplify

25 - \frac{25}{4} : \frac{75}{4}

For

x^{2} = f (a)

the solutions are

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

a = \frac{75}{4}, a = - \frac{75}{4}

\frac{75}{4} = \frac{5 3}{2}

- \frac{75}{4} = - \frac{5 3}{2}

a = \frac{5 3}{2}, a = - \frac{5 3}{2}

r, (2 - r)^{2} + (4 - r)^{2} = (r + 2)^{2}

5.7614 a^{2} + 2593 a - 516461.55 = 0

2 t^{2} + t - 3 = 0

- 12 x^{2} - 12 x = 0

m^{2} - 3 m + 1 = 0

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