All categories

2 years ago

Solve for x: 3√5x² +25x-10√√5 = 0

Mathematics

2 answers:

bogdanovich [222]2 years ago

3 0

Answer: x = - 2√5, √5/3

Step-by-step explantion

3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0

⇒ 3√5x2 + 30x – 5x – 10√5 = 0

⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0

⇒ (x + 2√5)(3√5x – 5) = 0

x = - 2√5, √5/3

Natasha2012 [34]2 years ago

3 0

$3 \sqrt{5} {x}^{2} + 25x - 10 \sqrt{5} = 0 \\ \\ 3 \sqrt{5} {x}^{2} + 30x - 5x - 10 \sqrt{5} = 0 \\ \\ 3x( \sqrt{5} x + 10) - \sqrt{5} ( \sqrt{5} + 10) = 0 \\ \\ ( \sqrt{5} x + 10)(3x - \sqrt{5} ) = 0$

$\sqrt{5} x + 10 = 0 \\ \\ \sqrt{5}x = - 10 \\ \\ x = \frac{ - 10}{ \sqrt{5} } \\ \\ x = \frac{ - 2 \times \sqrt{5 } \times \sqrt{5} }{ \sqrt{5} } \\ \\ x = - 2 \sqrt{5} .$

$3x - \sqrt{5} = 0 \\ \\ 3x = \sqrt{5} \\ \\ x = \frac{ \sqrt{5} }{3} .$

The values of x are -2√5 & √5/3 .

You might be interested in

Graph the following {(x,y): x + y = 5}

Whitepunk [10]

For this case we have the following function:

$y = 5-x$

We look for the points of intersection with the x axis, doing y = 0

$0 = 5-x\\x = 5$

We look for the points of intersection with the y axis, doing x = 0

$y = 5-0\\y = 5$

We can also observe that the slope is -1.

$y = mx + b\\y = -x + 5$

Answer:

See attached image

6 0

3 years ago

A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr

mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x ---> ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

$ratio=\frac{y}{x}$

substitute the given values

$ratio=\frac{30}{18}$

simplify

$ratio=\frac{5}{3}=1.67$

<u><em>Verify each graph</em></u>

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

$ratio=\frac{5}{3}$