what is the two factors of x^2-6x-1 x=? x=?
2009-06-16 12:45 pm
i need the sum factors of it so whats the value of the 2 x in the equation??? x=? x=?
回答 (8)
2009-06-16 12:52 pm
✔ 最佳答案
x^2 - 6x - 1 = 0x = [-b ±√(b^2 - 4ac)]/(2a)
a = 1
b = -6
c = -1
x = [6 ±√(36 + 4)]/2
x = [6 ±√40]/2
x = [6 ±√(2^2 * 10)]/2
x = [6 ±2√10]/2
x = 3 ±√10
∴ the two factors of x^2 - 6x - 1 is 3 + √10 and 3 - √10.
2009-06-16 1:10 pm
x² - 6x - 1 = 0
x² - 3x = 1 + 3²
x² - 3x = 1 + 9
(x - 3)² = 10
x - 3 = +/- 3.1622777
Factors:
= x - 3.1622777 - 3, = x - 6.1622777
= x + 3.1622777 - 3, = x + 0.1622777
Answer: (x - 6.1622777)(x + 0.1622777); x = 6.1622777, - 0.1622777
Proof:
= (x - 6.1622777)(x + 0.1622777)
= x² + 0.1622777x - 6.1622777x - 1
= x² - 6x - 1
x² - 3x = 1 + 3²
x² - 3x = 1 + 9
(x - 3)² = 10
x - 3 = +/- 3.1622777
Factors:
= x - 3.1622777 - 3, = x - 6.1622777
= x + 3.1622777 - 3, = x + 0.1622777
Answer: (x - 6.1622777)(x + 0.1622777); x = 6.1622777, - 0.1622777
Proof:
= (x - 6.1622777)(x + 0.1622777)
= x² + 0.1622777x - 6.1622777x - 1
= x² - 6x - 1
2009-06-16 1:07 pm
(-6)^2-4(1)*(-1)=40
→X1=(-b+√∆)/2=[-(-6)+√40]/2=[6+6.32]/2=6.16
,X2=(-b-√∆)/2=[-(-6)-√40]/2=[6-6.32]/2=-0.16
or
X1=3+√40
X2=3-√40
you can check
→X1=(-b+√∆)/2=[-(-6)+√40]/2=[6+6.32]/2=6.16
,X2=(-b-√∆)/2=[-(-6)-√40]/2=[6-6.32]/2=-0.16
or
X1=3+√40
X2=3-√40
you can check
2009-06-16 12:55 pm
x^2-6x-1=0
=x^2-6x+9 -9+1
=(x-3)^2-8
=(x-3+sqrt8)(x-3-sqrt8) These are the factors.
Using the null factor law, if x-3 + - sqrt8= 0
x = 3 + sqrt8 or x = 3- sqrt8
=x^2-6x+9 -9+1
=(x-3)^2-8
=(x-3+sqrt8)(x-3-sqrt8) These are the factors.
Using the null factor law, if x-3 + - sqrt8= 0
x = 3 + sqrt8 or x = 3- sqrt8
2009-06-16 12:54 pm
(x-3-\/'''10''')(x-3+\/''''10''')
2009-06-16 12:54 pm
delta=36-4.(-1)=40
x=(6-sqrt(40))/2 or x=(6+sqrt(40))/2
x=3-sqrt(10) or x=3+sqrt(10)
x=(6-sqrt(40))/2 or x=(6+sqrt(40))/2
x=3-sqrt(10) or x=3+sqrt(10)
2009-06-16 12:54 pm
x= (6 (+/-) √ (36+4))/2
x= (6(+/-) √40)/2 = 3 (+/-) √10
so x= 3+√10 AND x=3-√10
x= (6(+/-) √40)/2 = 3 (+/-) √10
so x= 3+√10 AND x=3-√10
2009-06-16 12:54 pm
aha.. dont know
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