Question

Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 10x = 39

Answer 1

`x^2-10x=39\\\\x^2-2\cdot x\cdot5=39\ \ \ \ /+5^2\\\\\underbrace{x^2-2\cdot x\cdot5+5^2}_((*))=39+5^2\\\\(x-5)^2=39+25\\\\(x-5)^2=64\iff x-5=\pm√(64)\\\\x-5=-8\ or\ x-5=8\\\\x=-8+5\ or\ x=8+5\\\\x=-3\ or\ x=13`