What is the answer to solvefor a,(sqrt(a)+sqrt(8a))^2=54+bsqrt(2) ?

The answer to solvefor a,(sqrt(a)+sqrt(8a))^2=54+bsqrt(2) is a=(486+9sqrt(2)b-216sqrt(2)-8b)/(49)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor a,(sqrt(a)+sqrt(8a))^2=54+bsqrt(2)

solve for

a, (a + 8 a)^{2} = 54 + b 2

a = \frac{486 + 9 2 b - 216 2 - 8 b}{49}

Solution steps

(a + 8 a)^{2} = 54 + b 2

Simplify

(a + 8 a)^{2} : (a + 22 a)^{2}

(a + 22 a)^{2} = 54 + b 2

Expand

(a + 22 a)^{2} : 9 a + 42 a

9 a + 42 a = 54 + b 2

Factor

9 a + 42 a : (9 + 42) a

(9 + 42) a = 54 + b 2

Divide both sides by

9 + 42

a = \frac{( 9 - 4 2 ) ( 54 + 2 b )}{49}

Simplify

\frac{( 9 - 4 2 ) ( 54 + 2 b )}{49} : \frac{486 + 9 2 b - 216 2 - 8 b}{49}

a = \frac{486 + 9 2 b - 216 2 - 8 b}{49}

- 7 f + 6 = 116 + 3 f

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

y, 2 x y + 6 y = 10

x, - 7 x + 7 y = 21

x, - 4 x - y = - 2

What is the answer to solvefor a,(sqrt(a)+sqrt(8a))^2=54+bsqrt(2) ?
The answer to solvefor a,(sqrt(a)+sqrt(8a))^2=54+bsqrt(2) is a=(486+9sqrt(2)b-216sqrt(2)-8b)/(49)