What number increased by 3,080 equals 5,082?

Mathematics

1 answer:

kodGreya [7K]4 years ago

8 0

Let the required number be x, then
x + 3,080 = 5,082
x = 5,082 - 3,080
x = 2,002

You might be interested in

Which expression is equivalent to<br> 25a7b"?

krek1111 [17]

Answer:

what expressions?there is only the question, but not the expressions

3 0

3 years ago

Please help me answer this question genius

kolbaska11 [484]

Answer:

x ∈ {-0.465, 1.014}

Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

The equation can be made a quadratic by the substitution ...

z = e^(2x)

Then we have ...

$2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}$