Question

find the larger solution of
1/2x^2-20=92.5

Answer 1

Start by isolating x:

1/2x^2 - 20 = 92.5
x^2 - 40 = 185
x^2 = 225

Now solve the square for the solutions.

Answer 2

is it 15 ?

Answer 3

Indeed it is! (The other solution is -15)

Answer 4

this simplifies to

1/2x^2 = 112.5

x^2 = 225

\[x=\pm 15\]

Answer 5

thank you

Answer 6

You can always check by plugging your solution into the original equation:
1/2(15)^2 - 20 = 92.5
1/2(225) - 20 = 92.5
112.5 - 20 = 92.5
92.5 = 92.5

Answer 7

I would have thought that the solutions are equal in side...