Solve the following quadratic by
completing the square.
y = x2 – 8x + 5
2 answers:
Answer:
x = 4 ± √11
Step-by-step explanation:
hello :
x²-8x+5= x² -2(4 )(x)+5
x²-8x+5= x² -2(4 )(x)+5 = ( x² -2(4 )(x) +4²) -4²+5
= (x-4)²-11 .....( completing the square )
x²-8x+5= 0 means : (x-4)²-11 = 0
(x-4)²=11 but : 11 = (√11)² = ( - √11)²
x-4 =√11 or x-4 = -√11
x = 4 ± √11
Answer:
x = 4 ± 
Step-by-step explanation:
To solve the equation let y = 0 , that is
x² - 8x + 5 = 0 ( subtract 5 from both sides )
x² - 8x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 5 + 16
(x - 4)² = 11 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 
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