What is the answer to sqrt(25x)-4sqrt(2)+sqrt(36x)=15 ?

The answer to sqrt(25x)-4sqrt(2)+sqrt(36x)=15 is x= 257/121+(120sqrt(2))/(121)

Solve for x: sqrt(25x)-4sqrt(2)+sqrt(36x)=15

The solution is x= 257/121+(120sqrt(2))/(121)

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25 x - 42 + 36 x = 15

x = \frac{257}{121} + \frac{120 2}{121}

Decimal Notation

x = 3.52649 \dots

Solution steps

25 x - 42 + 36 x = 15

Factor

25 x - 42 + 36 x : 11 x - 42

11 x - 42 = 15

Move

42

to the right side

11 x = 15 + 42

Divide both sides by

11

x = \frac{15 + 4 2}{11}

Square both sides:

x = \frac{257}{121} + \frac{120 2}{121}

x = \frac{257}{121} + \frac{120 2}{121}

Verify Solutions:

x = \frac{257}{121} + \frac{120 2}{121}

True

The solution is

x = \frac{257}{121} + \frac{120 2}{121}

2 2 x = 42 x - 1

5 x - 3 + 2 x + 1 = x + 13

t, 89 f = \frac{( 1 - 2 t )}{( 1 + 2 t )}

x^{2} + 3 3 x - 30 = 0

x x + x - x = 2 x

What is the answer to sqrt(25x)-4sqrt(2)+sqrt(36x)=15 ?
The answer to sqrt(25x)-4sqrt(2)+sqrt(36x)=15 is x= 257/121+(120sqrt(2))/(121)
Solve for x: sqrt(25x)-4sqrt(2)+sqrt(36x)=15
The solution is x= 257/121+(120sqrt(2))/(121)