I have to solve for x:
sqrt (54.3) = 2x/.240 - x
I know how to set up the tables etc but I'm having trouble solving for x. could someone show me the easiest way? either with a graphing calc (i have a TI-84) or with an equation.
Step by step, if you could!
Thanks!!
sqrt (54.3) = 2x/.240 - x
I know how to set up the tables etc but I'm having trouble solving for x. could someone show me the easiest way? either with a graphing calc (i have a TI-84) or with an equation.
Step by step, if you could!
Thanks!!
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I'm going to assume that .240 − x is all in the denominator, because it's not clear from your notation.
Given:
√54.3 = 2x/(.240 − x)
Multiply both sides by .240 − x:
(.240 − x)√54.3 = 2x
Distribute:
.240√54.3 − x√54.3 = 2x
Add x√54.3 to both sides:
.240√54.3 = x√54.3 + 2x
Factor out x:
.240√54.3 = x(√54.3 + 2)
Divide by (√54.3 + 2):
x = .240√54.3/(√54.3 + 2) ≈ 0.1887664092
Given:
√54.3 = 2x/(.240 − x)
Multiply both sides by .240 − x:
(.240 − x)√54.3 = 2x
Distribute:
.240√54.3 − x√54.3 = 2x
Add x√54.3 to both sides:
.240√54.3 = x√54.3 + 2x
Factor out x:
.240√54.3 = x(√54.3 + 2)
Divide by (√54.3 + 2):
x = .240√54.3/(√54.3 + 2) ≈ 0.1887664092