Find x
√2x/9.81= √(300+h)^2+60^2/150
Thankyou!
Sorry it was:
√2x/9.81= √(300+x)^2+60^2/150
I'll go out on a limb here and assume you meant
(√2x)/9.81= √((300+x)^2+60^2)/150
square both sides and you have (roughly)
4x/96 = (x^2+600x+93600)/22500
2x^2-675x+187200 = 0
that has no real roots.
So, if I got it wrong, fix it and solve using the same method. Here's how wolframalpha worked it.
http://www.wolframalpha.com/input/?i=%28%E2%88%9A2x%29%2F9.81%3D+%E2%88%9A%28%28300%2Bx%29^2%2B60^2%29%2F150
If I got the syntax wrong, adjust the input and see the new solution.
To find the value of x in the given equation, we need to isolate it.
√2x/9.81 = √(300+h)^2 + 60^2/150
First, let's simplify the right side of the equation:
√(300+h)^2 + 3600/150
Using the formula sqrt(a^2 + b^2) = sqrt(a^2) + sqrt(b^2), we can simplify further:
(300+h) + 60
Now, let's rewrite our equation:
√2x/9.81 = (300+h) + 60
Next, let's get rid of the square root by squaring both sides of the equation:
[√2x/9.81]^2 = [(300+h) + 60]^2
2x / 9.81 = (360 + h + 300)^2
Now, let's simplify the equation further:
2x / 9.81 = (660 + h)^2
Next, let's cross-multiply to eliminate the fraction:
2x = 9.81 * (660 + h)^2
Now, divide both sides by 2 to solve for x:
x = [9.81 * (660 + h)^2] / 2
So, the value of x is:
x = [9.81 * (660 + h)^2] / 2