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Math World
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Math World
@Math_World_
Community of teaching and learning mathematics via daily math&geo questions.
İstanbul, Türkiye Katılım Mayıs 2017
2.4K Takip Edilen32.1K Takipçiler

@Math_World_ 5𝒙² - 13𝒙 - 6 = 0
(5𝒙 + 2)(𝒙 - 3) = 0
𝒙 = - 2/5 𝐎𝐫 𝒙 = 3
English

@Math_World_ 5x^2-13x-6=0
5x^2-15x+2x-6=0
5x(x-3)+2(x-3)=0
(x-3)(5x+2)=0
x=3 or x=-2/5
x=-2/5, 3
Deutsch

@Math_World_ Lets assume radius to be r
So r^2=(12-r)^2 +(9)^2
r^2= 144-24r+r^2+81
We cancel r^2 from both side
144-24r+81=0
24r=225
R=225/24
Radius = 9.375
English

@Math_World_ r^2 = 9^2 + (12-r)^2
(a-b)^2 = a^2 + 2ab + b^2
r^2 = 81 + 144 - 24r + r^2
r^2 on both sides cancels, move -24r to other side (becomes +24r)
24r = 225
r = 225/24 = 9,375
English

@Math_World_ 9^2 + (12-r)^2 = r^2
81 + (144 - 24r + r^2) = r^2
225 - 24r + r^2 = r^2
225 - 24r = 0
24r = 225
r = 225/24 = 75/8 = 9.375cm
This was fun

CY

@Math_World_ Using the intersecting chords theorem ;
(12)(2r-12)=(9)(9)
r = 75/8
English

@Math_World_ (12+x)^2 = x^2 + 9^2 + 12^2 + 9^2
12^2 +x^2 + 24x = x^2 + 9^2 + 12^2 + 9^2
24x = 2* 9^2
x = 27/4
R = (12+x)/2=6+27/8=75/8
Deutsch




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