What are the solutions to the equation solvefor y,y^2+7b^2=8by ?

The solutions to the equation solvefor y,y^2+7b^2=8by are y=7b,y=b

Find the zeros of solvefor y,y^2+7b^2=8by

The zeros of solvefor y,y^2+7b^2=8by are y=7b,y=b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solve for

y, y^{2} + 7 b^{2} = 8 b y

y = 7 b, y = b

Solution steps

y^{2} + 7 b^{2} = 8 b y

Move

8 b y

to the left side

y^{2} + 7 b^{2} - 8 b y = 0

Write in the standard form

a x^{2} + b x + c = 0

y^{2} - 8 b y + 7 b^{2} = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 8 b ) \pm ( - 8 b ) ^{2} - 4 \cdot 1 \cdot 7 b ^{2}}{2 \cdot 1}

Simplify

(- 8 b)^{2} - 4 \cdot 1 \cdot 7 b^{2} : 6 b

y_{1, 2} = \frac{- ( - 8 b ) \pm 6 b}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 8 b ) + 6 b}{2 \cdot 1}, y_{2} = \frac{- ( - 8 b ) - 6 b}{2 \cdot 1}

y = \frac{- ( - 8 b ) + 6 b}{2 \cdot 1} : 7 b

y = \frac{- ( - 8 b ) - 6 b}{2 \cdot 1} : b

The solutions to the quadratic equation are:

y = 7 b, y = b

x^{2} + 10 x + 25 = 0

- 3 x^{2} - 16 x + 7 = 4

- 2 x^{2} - 8 x - 22 = 0

y^{2} + 10 y + 8 = 0

x^{2} - 5 = - 5

What are the solutions to the equation solvefor y,y^2+7b^2=8by ?
The solutions to the equation solvefor y,y^2+7b^2=8by are y=7b,y=b
Find the zeros of solvefor y,y^2+7b^2=8by
The zeros of solvefor y,y^2+7b^2=8by are y=7b,y=b