What is the answer to sqrt(2-7x^2)-1/4 = x/2 ?

The answer to sqrt(2-7x^2)-1/4 = x/2 is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(2-7x^2)-1/4 = x/2

2 - 7 x^{2} - \frac{1}{4} = \frac{x}{2}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

2 - 7 x^{2} - \frac{1}{4} = \frac{x}{2}

Find Least Common Multiplier of

4, 2 : 4

Multiply by LCM=

4

2 - 7 x^{2} \cdot 4 - \frac{1}{4} \cdot 4 = \frac{x}{2} \cdot 4

Simplify

4 2 - 7 x^{2} - 1 = 2 x

Remove square roots

32 - 112 x^{2} = 4 x^{2} + 4 x + 1

Solve

32 - 112 x^{2} = 4 x^{2} + 4 x + 1 : x = \frac{1}{2}, x = - \frac{31}{58}

x = \frac{1}{2}, x = - \frac{31}{58}

Verify Solutions:

x = \frac{1}{2}

True

, x = - \frac{31}{58}

False

The solution is

x = \frac{1}{2}

12 = - 6 b + 4

x^{\frac{3}{2}} - x^{\frac{1}{2}} = 0

\frac{- 2 x ^{2} + 9}{9 - x ^{2}} = 0

(x + 5)^{\frac{4}{3}} - 10 = 6

2 x + 1 - 4 = - 1

What is the answer to sqrt(2-7x^2)-1/4 = x/2 ?
The answer to sqrt(2-7x^2)-1/4 = x/2 is x= 1/2
Solve for x: sqrt(2-7x^2)-1/4 = x/2
The solution is x= 1/2