Question

What is the solution of the equation?
sqrt(2x+13)-5=x

Answer 1

\[\sqrt{2x+13}-5=x\]

Answer 2

\[\sqrt{2x+13}-5=x\]\[\sqrt{2x+13}=x+5~~~~~~~~squ are~~~both~~sides,\]\[2x+13=x^2+10x+25~~~~~~~~Can~~you~~do~~ i t~~now?\]

Answer 3

Yes,thank you :)

Answer 4

Anytime!

Answer 5

I thought i could finish it,but im confused so can you help me?

Answer 6

\[x^2+10x+25-2x^2-13=0\]

Answer 7

\[-x^2+10x+12=0~~~~~~->~~~~~~~~x^2-10x-12=0\]

Answer 8

Which methods do you know?
Quadratic formula
Completing the square
Factoring

Answer 9

All of them?

Answer 10

i know all of them but mainly quadratic formula

Answer 11

Sorry, the connection snapped

Answer 12

\[\huge\color{blue}{\frac{-(-10)±\sqrt{(-10)^2-4 \times 1 \times (-12)}}{2(1)}=x}\]

Answer 13

\[\huge\color{blue}{\frac{+10±\sqrt{100-(-48)}}{2}=x}\]

\[\huge\color{blue}{\frac{+10±\sqrt{148)}}{2}=x}\]

\[\huge\color{blue}{\frac{+10±4\sqrt{37)}}{2}=x}\]

\[\huge\color{blue}{+5±2\sqrt{37}=x}\]

Answer 14

Clear?

Answer 15

yes very lol thank you so much