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3 years ago

2+x=15-7/8x how do you solve this?

Mathematics

1 answer:

uranmaximum [27]3 years ago

5 0

Answer:2+x=15-7/8x

We move all terms to the left:

2+x-(15-7/8x)=0

Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

x-(-7/8x+15)+2=0

We get rid of parentheses

x+7/8x-15+2=0

We multiply all the terms by the denominator

x*8x-15*8x+2*8x+7=0

Wy multiply elements

8x^2-120x+16x+7=0

We add all the numbers together, and all the variables

8x^2-104x+7=0

a = 8; b = -104; c = +7;

Δ = b2-4ac

Δ = -1042-4·8·7

Δ = 10592

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

The end solution:

Δ−−√=10592−−−−−√=16∗662−−−−−−−√=16−−√∗662−−−√=4662−−−√

x1=−b−Δ√2a=−(−104)−4662√2∗8=104−4662√16

x2=−b+Δ√2a=−(−104)+4662√2∗8=104+4662√16

Step-by-step explanation:

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The speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

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