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3 years ago

What is the value of x in the equation 0.75x+3=6(x-3)?

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Given

0.75x + 3 = 6(x - 3) ← distribute

0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )

3 = 5.25x - 18 ( add 18 to both sides )

21 = 5.25x ( divide both sides by 5.25 )

4 = x

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jok3333 [9.3K]

Answer:

$\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }$

Step-by-step explanation:

Hello

Let's note the original speed of the car v

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

$\dfrac{200}{v}$

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

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$\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }$

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$200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0$

$\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}$

Only one is positive and this is is

$x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...$

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Hope this helps.

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