Question

Solve for x : √6x+7 -(2x-7)=0​

Answer 1

Answer:

Sqrt (6x +7) - (2x - 7 ) = 0

sqrt ( 6x + 7 ) = ( 2x - 7 )

Squreing bothsides

( sqrt ( 6x + 7 ))^2 = ( 2x - 7 )^2

6x + 7 = 4x^2 -28x +49

0 = 4x^2 -28x -6x +49 - 7

4x^2 -34x +42 = 0

Divide each term with 2

2x^2 - 17x +21 = 0

2x^2 - 14x - 3x +21 = 0

2x ( x - 7 ) - 3( x - 7 ) = 0

( x - 7 ) ( 2x - 3 ) = 0

x - 7 = 0 or 2x - 3 = 0

x = 7 or 2x = 3

x = 7 or x = 3/2

Step-by-step explanation:

Answer 2

Given = √6x+7-2x+7 = 0

= (√6-2)x+14 = 0

= (√6-2)x = -14

= x= -14/√6-2

x = -14/√6-2×√6+2/√6+2 ( by rationalizing)

x = -14√6-28/6-4

x = -14√6-28/2

x = -7√6-14