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- Equation:
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Equation 9^x-8*3^x-9=0
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Identical expressions
- two ^ sixty /x= three / five hundred
- 2 to the power of 60 divide by x equally 3 divide by 500
- two to the power of sixty divide by x equally three divide by five hundred
- 260/x=3/500
- 2⁶0/x=3/500
- 2^60 divide by x=3 divide by 500
2^60/x=3/500 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1152921504606846976
------------------- = 3/500
x
$$\frac{1152921504606846976}{x} = \frac{3}{500}$$
Detail solution
Given the equation:
$$\frac{1152921504606846976}{x} = \frac{3}{500}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$- \frac{x}{1152921504606846976} = - \frac{500}{3}$$
$$- \frac{x}{1152921504606846976} = - \frac{500}{3}$$
Divide both parts of the equation by -1/1152921504606846976
We get the answer: x = 576460752303423488000/3
$$\frac{1152921504606846976}{x} = \frac{3}{500}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1
b1 = -500/3
a2 = 1
b2 = -x/1152921504606846976
so we get the equation
$$- \frac{x}{1152921504606846976} = - \frac{500}{3}$$
$$- \frac{x}{1152921504606846976} = - \frac{500}{3}$$
Divide both parts of the equation by -1/1152921504606846976
x = -500/3 / (-1/1152921504606846976)
We get the answer: x = 576460752303423488000/3
Rapid solution
[src]
x1 = 576460752303423488000/3
$$x_{1} = \frac{576460752303423488000}{3}$$
x1 = 576460752303423488000/3
Sum and product of roots
[src]
sum
576460752303423488000/3
$$\frac{576460752303423488000}{3}$$
=
576460752303423488000/3
$$\frac{576460752303423488000}{3}$$
product
576460752303423488000/3
$$\frac{576460752303423488000}{3}$$
=
576460752303423488000/3
$$\frac{576460752303423488000}{3}$$
576460752303423488000/3