What is the answer to (3600)/(12.96)=(900)/(12.96-2sqrt(a)) ?

The answer to (3600)/(12.96)=(900)/(12.96-2sqrt(a)) is a= 59049/2500

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(3600)/(12.96)=(900)/(12.96-2sqrt(a))

\frac{3600}{12.96} = \frac{900}{12.96 - 2 a}

a = \frac{59049}{2500}

Decimal Notation

a = 23.6196

Solution steps

\frac{3600}{12.96} = \frac{900}{12.96 - 2 a}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

3600 (12.96 - 2 a) = 12.96 \cdot 900

Expand

3600 (12.96 - 2 a) : 46656 - 7200 a

46656 - 7200 a = 12.96 \cdot 900

Multiply the numbers:

12.96 \cdot 900 = 11664

46656 - 7200 a = 11664

Move

46656

to the right side

- 7200 a = - 34992

Divide both sides by

- 7200

a = \frac{243}{50}

Square both sides:

a = \frac{59049}{2500}

a = \frac{59049}{2500}

Verify Solutions:

a = \frac{59049}{2500}

True

The solution is

a = \frac{59049}{2500}

2 m + 1 = m + 1

x^{4} + x^{2} + 1 = x^{2} - 3 x + 1

x + 40 + x = 10

b^{\frac{4}{3}} = 625

x^{2} - 6 x + 2 = 0

What is the answer to (3600)/(12.96)=(900)/(12.96-2sqrt(a)) ?
The answer to (3600)/(12.96)=(900)/(12.96-2sqrt(a)) is a= 59049/2500
Solve for a: (3600)/(12.96)=(900)/(12.96-2sqrt(a))
The solution is a= 59049/2500