Question

Find the real solutions of the equati √7x+1 - √x-5 = 6

Answer 1

The solution of this equation is x = 5 and   x = 9.

What is the solution?

Let us recall that what we have here is a radical equation as follows;

√7x+1 - √x-5 = 6

When we isolate we have';

 √7x+1 = √x-5+6

Taking the square of both sides;

  (√7x+1)^2 = (√x-5+6)^2

Hence;

    7x+1 = x-5+36+12√x-5

-12√x-5 = -7x-1+x-5+36

12√x-5 = 6x-30

Raising this equation to power 2

144x-720 = 36x^2-360x+900

When we rearrange we obtain;

36x2  - 504x  + 1620 = 0

Hence;

x = 5 and   x = 9

Learn more about radical equation:brainly.com/question/8606917

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