Question

Find the roots :
1.) 5 sqrt x -x=6
2.) x^2 -8=17
please help !!

Answer 1

1) 5sqrt(x) - x = 6
we knowed that x > 0
first, add by x to both sides, giving us
5sqrt(x) - x + x = 6 + x
5 sqrt(x) = 6 + x

then square both sides, to get
(5 sqrt(x))^2 = (x+6)^2
25x = x^2 + 12x + 36

simplify, now we have :
x^2 - 13x + 36 = 0
solve for x

Answer 2

this, can be factored :
(x-4)(x-9) = 0
now, solve for x

Answer 3

got it ?
@Rea731

Answer 4

Yes thank you I am just trying to transfer everything

Answer 5

did u get number 2 ?