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

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

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

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

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

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

Decimal

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

Solution steps

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

Expand

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

Expand

5^{2} : 25

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

- 2 (h - 5) < - 12

\frac{1}{2} - \frac{5}{2}

(j - 7)^{2} = 39

x^{3} + 2 x^{2} - 11 x - 12 \geq 0

5 m - (3 m + 11) > 6 (m + 5) - (- 3 m)

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