What is the answer to (2sqrt(x)+1)(sqrt(x)-2)=7 ?

The answer to (2sqrt(x)+1)(sqrt(x)-2)=7 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2sqrt(x)+1)(sqrt(x)-2)=7

(2 x + 1) (x - 2) = 7

x = 9

Solution steps

(2 x + 1) (x - 2) = 7

Move

7

to the left side

2 (x)^{2} - 3 x - 9 = 0

Factor

2 (x)^{2} - 3 x - 9 : (2 x + 3) (x - 3)

(2 x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or x - 3 = 0

Solve

2 x + 3 = 0 :

No Solution for

x \in R

Solve

x - 3 = 0 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

x^{\frac{2}{3}} = 11

2 x + 4 - 4 = - x

9 - 4 x = 3 - x

5 x + 84 = 2 x + 21

1 + 5 x + 2 = 4

What is the answer to (2sqrt(x)+1)(sqrt(x)-2)=7 ?
The answer to (2sqrt(x)+1)(sqrt(x)-2)=7 is x=9
Solve for x: (2sqrt(x)+1)(sqrt(x)-2)=7
The solution is x=9