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ArbitrLikvidat [17]
3 years ago
6

Need help ASAP Will mark as Brainiest

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

Step-by-step explanation:

x²-11x+32=4

x²-11x+28=0

(x-4)(x-7)=0

x=4 or x=7

_______

x²+8x-5=4

x²+8x-9=0

(x+9)(x-1)=0

x=-9 or x=1

_______

x²+x+4=5x+1

x²-4x+3=0

(x-1)(x-3)=0

x=1 or x=3

________

x²+x-24=-8x-2

x²+9x-22=0

(x+11)(x-2)=0

x=-11 or x=2

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Divide through everything by <em>b</em> :

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Multiply through everything on the right side by <em>b/d</em> to get

\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.

For the other side, you can do something similar and divide through everything by <em>d</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}

and <em>a/b</em> < <em>c/d</em> tells us that

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Then together we get the desired inequality.

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