What is the answer to 2x+7x^{1/2}-4=0 ?

The answer to 2x+7x^{1/2}-4=0 is x= 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x+7x^{1/2}-4=0

2 x + 7 x^{\frac{1}{2}} - 4 = 0

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

2 x + 7 x^{\frac{1}{2}} - 4 = 0

Remove square roots

49 x = 4 x^{2} - 16 x + 16

Solve

49 x = 4 x^{2} - 16 x + 16 : x = 16, x = \frac{1}{4}

x = 16, x = \frac{1}{4}

Verify Solutions:

x = 16

False

, x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

x - 4 = 2 x + 9

x^{\frac{1}{3}} = \frac{1}{4}

\frac{1}{x} - 1 = 2

52 - 6 x = x - 10