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1 year ago

Solve the equation using square roots. 6x2 = 54

Mathematics

2 answers:

Aneli [31]1 year ago

7 0

Answer:

The solution of the equation is $x=\pm 3$

Step-by-step explanation:

Given : Equation $6x^2=54$

To find : Solve the equation using square roots?

Solution :

The given equation is $6x^2=54$

Step 1 - First we divide the equation by 6

$\frac{6x^2}{6}=\frac{54}{6}$

$x^2=9$

Step 2 - Taking square root both side,

$\sqrt{x^2}=\sqrt{9}$

$x=\pm 3$

Therefore, The solution of the equation is $x=\pm 3$

Mars2501 [29]1 year ago

5 0

6x^2 = 54

6(x^2) = 54

6(x^2)/6 = 54/6

x^2 = 9

rt(x^2) = rt(9)

x = 3

hope this helps

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Answer:

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1 year ago

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MAXImum [283]

You want to drwa a diagram

ok, so 10√2 yards at a 45 degree angle

alrighty

let's use a graphing plane
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now, if we were to draw a line from our starting point (the origin) to the ending point (10,10), we get a line (duh)
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so going 10 out and 10 right is same as 10√2 at 45 degree angle

or you could draw a triangle (see diagram)
legs are 10 and 10, connect them to get a hypotnuse
since the legs are equal lengths, the angles are 45-45-90, we have a 45-45-90 triangle
we can either use the special properies of a 45-45-90 triangle (side lenghs are x:x:x√2) or use pythagorean

so remember if te legs are a,b,,c then a²+b²=c²
a=b=10
10²+10²=c²
100+100=c²
200=c²
sqrt both sides
10√2=c

the lenght is 10√2 at a 45 degree angle

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1 year ago