Question

(02.05) Solve x² - 8x + 5 = 0 using the completing-the-square method. (2 points) x= 4± √11

x=4± √11
x= 4±√5
x=4±√5​

Answer 1

Answer: x=4-√11 x=4+√11

Explanation:

`\displaystyle\\x^2-8x+5=0\\\\D=(-8)^2-4(1)(5)\\\\D=64-20\\\\D=44\\\\√(D)=√(44) \\\\ √(D) =√(4*11) \\\\√(D)=√(2^2*11)\\\\ √(D) =2√(11) \\\\x=(-(-8)б2√(11) ))/(2*1) \\\\x=(8б2√(11) )/(2) \\\\x=4б√(11)`