What is the answer to 2750-(h-11)^2=2975-(h-25)^2 ?

The answer to 2750-(h-11)^2=2975-(h-25)^2 is h= 279/28

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2750-(h-11)^2=2975-(h-25)^2

2750 - (h - 11)^{2} = 2975 - (h - 25)^{2}

h = \frac{279}{28}

Decimal Notation

h = 9.96428 \dots

Solution steps

2750 - (h - 11)^{2} = 2975 - (h - 25)^{2}

Expand

2750 - (h - 11)^{2} : - h^{2} + 22 h + 2629

Expand

2975 - (h - 25)^{2} : - h^{2} + 50 h + 2350

- h^{2} + 22 h + 2629 = - h^{2} + 50 h + 2350

Move

2629

to the right side

- h^{2} + 22 h = - h^{2} + 50 h - 279

Subtract

- h^{2} + 50 h

from both sides

- h^{2} + 22 h - (- h^{2} + 50 h) = - h^{2} + 50 h - 279 - (- h^{2} + 50 h)

Simplify

- 28 h = - 279

Divide both sides by

- 28

h = \frac{279}{28}

6 e^{2} - x = 16

x, 8 (y + 6) = 4 (x + 1)

x - 1 = (- 1), x

c^{0.9} x - 3 (x + 8) = 8 x + 2

\frac{1}{3} = - 2

What is the answer to 2750-(h-11)^2=2975-(h-25)^2 ?
The answer to 2750-(h-11)^2=2975-(h-25)^2 is h= 279/28
Solve for h: 2750-(h-11)^2=2975-(h-25)^2
The solution is h= 279/28