LishaLiebe46 LishaLiebe46

21-05-2014
Mathematics

Answered

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

Verified Answer :

Anonymous Anonymous

21-05-2014

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

Answer Link

Related Questions

The aorta carries blood to the heart to the lungs to the body from the body

Why is understanding the concept of forces friction and gravity important

I live in Florida and Ive never seen snow before What is a snow Like what is the difference between snow and rain

Which belief system was the basis for the civil service exams given during the Han Dynasty

one of the isotopes of sulfur is represented as sulfur 35 or S35 what does the number 35 signify

750 admission 20 off 575 tax

If Bought 48 sports cards and 34 of them are baseball cards how many baseball cards do I have

Alexis is choosing between a job in the National Parks Service which offers a pension plan and a forestry contracting job with a 401k plan Why would Alexis choo

Identify the one illogical comparison among the following examples AThe uniforms we saw last night are the best Ive seen B Of all the sports teams at our high s

It cost 520 to plant 4 acres of corn How much would it cost to plant 35 acre of corn