difficult equation... please help (also explain)?

Question

9x10¯4 = (3.5x10¯4)Q + 5X10¯3 / Q +5x10¯3

Answer 1

Assuming that all powers of 10 are negative the equation simplifies by:

First, multiplying both sides by Q

.0009Q = .00035 + .005Q / (Q + .005).

Second, Multiplying both sides by (Q + .005)

.0009Q^2 + .000045Q = .00035Q + .00000175 + .005Q

Third, Combining like terms:

.0009Q^2 - .005305Q - .00000175 = 0

This is a quadratic equation which can be solved using the quadratic formula. I'll let you find that and solve it for Q. (I hope my first grade math is right)

Edit: Some time after the above. I think I miscopied the starting equation. it should be:

.0009 = .00035Q + .005/Q = .005

Which reduces (after multiplying both sides by Q) to:

.0009Q = .00035Q62 = .005 = .005Q

And after combining -.005Q and .00035Q to get .0041Q we get the quadratic:

.00035Q^2 + .0041Q + .005 = 0

Which is again a quadratic solvable for Q by using the "Quadratic Formula."

Cheers, I get Q = 6.3 and Q = 5.3, MM

Answer 2

9 times 10 to the 4th power equals.....
first...

figure ...

3.5 times 10 to the 4th power.....

then....

replace Q + 5X10¯3 / Q +5x10¯3 with 1.



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