What is the answer to (5+y)^2+(1-5y)^2=(5y)^2+y^2+y ?

The answer to (5+y)^2+(1-5y)^2=(5y)^2+y^2+y is y=26

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(5+y)^2+(1-5y)^2=(5y)^2+y^2+y

(5 + y)^{2} + (1 - 5 y)^{2} = (5 y)^{2} + y^{2} + y

y = 26

Solution steps

(5 + y)^{2} + (1 - 5 y)^{2} = (5 y)^{2} + y^{2} + y

Simplify

(5 y)^{2} + y^{2} + y : 26 y^{2} + y

(5 + y)^{2} + (1 - 5 y)^{2} = 26 y^{2} + y

Expand

(5 + y)^{2} + (1 - 5 y)^{2} : 26 y^{2} + 26

26 y^{2} + 26 = 26 y^{2} + y

Move

26

to the right side

26 y^{2} = 26 y^{2} + y - 26

Subtract

26 y^{2} + y

from both sides

26 y^{2} - (26 y^{2} + y) = 26 y^{2} + y - 26 - (26 y^{2} + y)

Simplify

- y = - 26

Divide both sides by

- 1

y = 26

x + \frac{5}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}

x = 4 x - 6

x = lo g_{4} (4)

2 x - 12 = 6 x - 2

a, 10 a + 8 = 2 (b + 6)

What is the answer to (5+y)^2+(1-5y)^2=(5y)^2+y^2+y ?
The answer to (5+y)^2+(1-5y)^2=(5y)^2+y^2+y is y=26
Solve for y: (5+y)^2+(1-5y)^2=(5y)^2+y^2+y
The solution is y=26