SOLUTION: Please help me solve this. {{{sqrt(10x-4)+sqrt(16x+17)=sqrt(75x-29)}}} I also need to know all the steps and why it works. Thanks you very much for your time.

SOLUTION: Please help me solve this. {{{sqrt(10x-4)+sqrt(16x+17)=sqrt(75x-29)}}} I also need to know all the steps and why it works. Thanks you very much for your time.

Algebra.Com

Question 604223: Please help me solve this.

I also need to know all the steps and why it works.
Thanks you very much for your time.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

Square both sides

square both sides

Find the roots of the equation by quadratic formula

a= 1761 , b= -4540 , c= 2076

b^2-4ac= 20611600 -14623344
b^2-4ac= 5988256

x1=( 4540 + 2447.09 )/ 3522
x1= 1.98

x2=( 4540 -2447.09 ) / 3522
x2= 0.59

(1.98,0.59)

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